(%i2) 

h:0.05$ x0:2$ y0:1$

(%i5) 

for i:1 thru 3 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,2.1,2.085625]}$

${\displaystyle [i,x1,y1]=[3,2.149999999999999,3.07909974609375]}$

(%i2) 

h: 0.1$ x0: 0$ y0: 1$

(%i5) 

for i:1 thru 3 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,0.2,1.440415945787923]}$

${\displaystyle [i,x1,y1]=[3,0.3,1.729880994351281]}$

(%i7) 

h: 0.05$ x0: 0$ y0: 2$

(%i10) 

for i:1 thru 3 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1,
    display([i,x1,y1]) )$

 ${\displaystyle [i,x1,y1]=[2,0.1,1.781375]}$

${\displaystyle [i,x1,y1]=[3,0.15,1.64661296953125]}$

(%i12) 

h: 0.1$ x0: 2$ y0: 3$

(%i15) 

for i:1 thru 3 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,2.2,2.922635827523157]}$


 ${\displaystyle [i,x1,y1]=[3,2.3,2.880205639458119]}$

(%i20) 

h: 0.2$ x0: 1$ y0: 3.1415$

(%i23) 

for i:1 thru 3 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,1.4,3.04516305809343]}$

${\displaystyle [i,x1,y1]=[3,1.6,2.987143119411182]}$

(%i7) 

h:0.05$ x0:2$ y0:1$

(%i10) 

for i:1 thru 3 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1,
    display([i,x1,y1]) )$

 ${\displaystyle [i,x1,y1]=[2,2.1,2.469649728729797]}$

${\displaystyle [i,x1,y1]=[3,2.149999999999999,4.530350898626433]}$

(%i25) 

h: 0.1$ x0: 0$ y0: 1$

(%i28) 

for i:1 thru 3 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1,
    display([i,x1,y1]) )$

 ${\displaystyle [i,x1,y1]=[1,0.1,1.221551365567124]}$

${\displaystyle [i,x1,y1]=[2,0.2,1.492920208470706]}$

${\displaystyle [i,x1,y1]=[3,0.3,1.825519191636627]}$

(%i30) 

h: 0.05$ x0: 0$ y0: 2$

(%i33) 

for i:1 thru 3 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,0.1,1.763094323005745]}$

${\displaystyle [i,x1,y1]=[3,0.15,1.621677082133333]}$

(%i36) 

h: 0.1$ x0: 2$ y0: 3$

(%i39) 

for i:1 thru 3 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1,
    display([i,x1,y1]) )$

 ${\displaystyle [i,x1,y1]=[2,2.2,2.920128957785907]}$

${\displaystyle [i,x1,y1]=[3,2.3,2.876207301364791]}$

(%i41) 

h: 0.2$ x0: 1$ y0: 3.1415$

(%i44) 

for i:1 thru 3 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1,
    display([i,x1,y1]) )$

${\displaystyle [i,x1,y1]=[2,1.4,1.825959686942205]}$

${\displaystyle [i,x1,y1]=[3,1.6,1.282767384068508]}$

(%i23) 

h: 0.1$ x0: 0$ y0: 6$

(%i26) 

for i:1 thru 10 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.2,3.948572754477203,4.061206107095796,0.02773396612937181]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.3,3.148169073399861,3.293214243898853,0.04404364847131009]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.4,2.488317113198322,2.650509064827378,0.06119275492446566]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.5,1.952657927577367,2.119736521410083,0.07882045345974094]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.6,1.523051661408057,1.686048659860183,0.09667395866596284]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.7,1.181845384740751,1.334775067957503,0.114573374112215]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.7999999999999999,0.9130112690956129,1.052328258157185,0.1323892882108299]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.8999999999999999,0.7026104556695179,0.8266278066989223,0.1500280416704813]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.9999999999999999,0.5388711778864874,0.6472318887822316,0.1674217738245641]}$

(%i47) 

h: 0.05$ x0: 0$ y0: 6$

(%i50) 

for i:1 thru 20 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.1,4.93374779174877,4.96348207856751,0.005990610290935368]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.15,4.452972000225055,4.495278468933502,0.009411312113548191]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.2,4.008196053258918,4.061206107095796,0.01305278590620105]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.25,3.59905071790299,3.660840783742864,0.01687865424638865]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.3,3.224521403676897,3.293214243898853,0.02085890413878164]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.35,2.883142574034572,2.956973979989263,0.02496856802066262]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.4,2.57314940011829,2.650509064827379,0.02918671953839436]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.45,2.292594964269818,2.372048384909907,0.03349569981183482]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.4999999999999999,2.039439810855407,2.119736521410084,0.03788051474494664]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[11,0.5499999999999999,1.811619395279046,1.891691599914428,0.04232836083799484]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[12,0.6,1.607093954004454,1.686048659860183,0.04682824863564529]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[13,0.65,1.423884471781341,1.500991455237718,0.05137070113711299]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[14,0.7000000000000001,1.260097726069419,1.334775067957503,0.0559475103189904]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[15,0.7500000000000001,1.11394281704755,1.185741276320973,0.06055153911500327]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[16,0.8000000000000002,0.9837411230870701,1.052328258157185,0.0651765592517901]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[17,0.8500000000000002,0.8679312382753039,0.9330759087137797,0.06981711758936732]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[18,0.9000000000000002,0.765070135634412,0.8266278066989217,0.07446842528844488]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[19,0.9500000000000003,0.6738315447481625,0.731730659066706,0.07912626538348347]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[20,1.0,0.5930023253421316,0.6472318887822307,0.08378691529265074]}$

(%i41) 

h: 0.025$ x0: 0$ y0: 6$

(%i44) 

for i:1 thru 40 do
  ( x1: x0+h, y1: y0+h*f(x0,y0), x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.05,5.457980110107497,5.465495650299117,0.00137508849562596]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.07500000000000001,5.199255497723819,5.210318327404935,0.002123254086593534]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.1,4.949051673677424,4.96348207856751,0.00290731479668212]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.125,4.707515986770918,4.725113791687934,0.003724313464783166]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.15,4.474727911551519,4.495278468933502,0.004571587171741555]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.175,4.250708244718965,4.273987507550239,0.005446731603718906]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.2,4.035427315129236,4.061206107095797,0.006347570472111613]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.225,3.828812302810998,3.856859886102185,0.007272129172297274]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.25,3.630753753706494,3.660840783742864,0.008218612011202822]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[11,0.275,3.441111368908185,3.473012315284723,0.009185382452040789]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[12,0.3,3.259719139921437,3.293214243898853,0.01017094591992315]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[13,0.325,3.086389894881934,3.121266725735123,0.01117393478924004]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[14,0.35,2.920919314639342,2.956973979989262,0.01219309523651995]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[15,0.3750000000000001,2.763089472135843,2.800127530965766,0.0132272756938139]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[16,0.4000000000000001,2.612671943513366,2.650509064827378,0.01427541667980528]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[17,0.4250000000000001,2.469430534834499,2.50789293978713,0.01533654182059927]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[18,0.4500000000000001,2.333123664160658,2.372048384909907,0.01640974990091836]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[19,0.4750000000000001,2.20350643496164,2.242741419417789,0.0174942078103392]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[20,0.5000000000000001,2.080332433400976,2.119736521410082,0.01858914426916312]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[21,0.5250000000000001,1.963355278921878,2.002798072190151,0.01969384423520057]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[22,0.5500000000000002,1.852329954721939,1.891691599914428,0.02080764390679184]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[23,0.5750000000000002,1.747013942126425,1.786184844023306,0.02192992624920602]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[24,0.6000000000000002,1.647168180527201,1.686048659860182,0.02306011698156156]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[25,0.6250000000000002,1.552557872426438,1.591057781016132,0.02419768096989256]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[26,0.6500000000000002,1.462953151192318,1.500991455237717,0.02534211897920169]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[27,0.6750000000000003,1.378129627380534,1.415633968189478,0.02649296474349952]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[28,0.7000000000000003,1.297868827884864,1.334775067957502,0.02764978231808937]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[29,0.7250000000000003,1.221958540737771,1.258210301903708,0.02881216368288101]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[30,0.7500000000000003,1.150193077074822,1.185741276320973,0.02997972656939757]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[31,0.7750000000000004,1.082373460592537,1.117175848286674,0.03115211248749313]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[32,0.8000000000000004,1.018307553757082,1.052328258157184,0.03232898493068852]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[33,0.8250000000000004,0.9578101290509484,0.9910192102798284,0.03351002774154392]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[34,0.8500000000000004,0.9007028926671565,0.9330759087137792,0.03469494362066216]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[35,0.8750000000000004,0.8468144672673216,0.8783320540402981,0.03588345276481339]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[36,0.9000000000000005,0.7959803397032664,0.8266278066989211,0.03707529162132005]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[37,0.9250000000000005,0.7480427789549776,0.7778097217036752,0.03827021174728648]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[38,0.9500000000000005,0.7028507289540471,0.7317306590667058,0.03946797876351648]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[39,0.9750000000000005,0.6602596804355902,0.6882496737807628,0.0406683713940831]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[40,1.0,0.6201315254876487,0.6472318887822306,0.04187118058347113]}$

(%i65) 

h: 0.1$ x0: 0$ y0: -3$

(%i68) 

for i:1 thru 10 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.2,-1.577172164112856,-1.577065117479794,0.678771167250355\times {10}^{-4}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.3,-1.163350794222229,-1.163236453483828,0.982953535016681\times {10}^{-4}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.4,-0.8680302936304252,-0.8679212410462013,1.256480185833875\times {10}^{-4}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.5,-0.6555427389005404,-0.6554448454360126,1.49354236606591\times {10}^{-4}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.6,-0.5015353521322574,-0.501450707309005,1.687998880421825\times {10}^{-4}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.7,-0.3891276734724686,-0.3890563182025489,1.834060175384279\times {10}^{-4}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.7999999999999999,-0.3064680184340518,-0.3064089590303197,1.927469872912144\times {10}^{-4}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.8999999999999999,-0.2451534334639788,-0.2451052255131414,1.966826726620039\times {10}^{-4}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.9999999999999999,-0.19918719755121,-0.1991482734714558,1.954527602757375\times {10}^{-4}]}$

(%i71) 

h: 0.05$ x0: 0$ y0: -3$

(%i74) 

for i:1 thru 20 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[1,0.05,-2.543292302947726,-2.543289861263845,0.960049390203239\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.1,-2.162526572313374,-2.162522467992003,1.897932359992188\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.15,-1.844109484541107,-1.844104303185068,0.280968708231894\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.2,-1.577070939293027,-1.577065117479794,0.369154904771009\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.25,-1.352524433802992,-1.352518293590483,0.453983693840401\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.3,-1.163242677781687,-1.163236453483828,0.535084491228065\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.35,-1.003323597091739,-1.003317456031253,0.61207551493789\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.4,-0.867927182473265,-0.8679212410462016,0.684558319620866\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.45,-0.7530678363014294,-0.7530621723953632,0.752116660984273\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.4999999999999999,-0.655450182857431,-0.6554448454360128,0.814320450505907\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[11,0.5499999999999999,-0.5723389177532403,-0.5723339342403538,0.870735175450322\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[12,0.6,-0.5014553253524618,-0.501450707309005,0.920936672249077\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[13,0.65,-0.4408947053237915,-0.4408904528006046,0.964530567606513\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[14,0.7000000000000001,-0.3890602133374718,-0.3890563182025488,1.001175084622411\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[15,0.7500000000000001,-0.3446096099591903,-0.3446060584307829,1.030605330501702\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[16,0.8000000000000002,-0.3064121844648638,-0.3064089590303196,1.05265673511536\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[17,0.8500000000000002,-0.2735137229442882,-0.2735108038042017,1.06728511118625\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[18,0.9000000000000002,-0.2451078593671625,-0.2451052255131413,1.074580933820204\times {10}^{-5}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[19,0.9500000000000003,-0.2205125132319408,-0.2205101432419989,1.074775929595034\times {10}^{-5}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[20,1.0,-0.1991504008547125,-0.1991482734714556,1.068240873886497\times {10}^{-5}]}$

(%i77) 

h: 0.025$ x0: 0$ y0: -3$

(%i80) 

for i:1 thru 40 do
  ( x1: x0+h,
        k1: h*f(x0,y0),
        k2: h*f(x0+0.5*h, y0+0.5*k1),
        k3: h*f(x0+0.5*h, y0+0.5*k2),
        k4: h*f(x0+h, y0+k3),
        y1: y0+(1/6)*(k1+2*k2+2*k3+k4),
        x0: x1, y0: y1, yE: yex(x1), err: abs((yE-y1)/yE),
    display([i,x1,y1,yE,err]) )$

 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[1,0.025,-2.761182495226335,-2.761182417593181,2.811590919629436\times {10}^{-8}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[2,0.05,-2.543290003551932,-2.543289861263845,0.559464687110792\times {10}^{-7}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[3,0.07500000000000001,-2.344331834515073,-2.344331638854666,0.834610614576172\times {10}^{-7}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[4,0.1,-2.162522707232189,-2.162522467992003,1.106301506085183\times {10}^{-7}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[5,0.125,-1.996260174183906,-1.996259899847704,1.374250927939822\times {10}^{-7}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[6,0.15,-1.844104605282431,-1.844104303185069,1.638179369449098\times {10}^{-7}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[7,0.175,-1.704761441134865,-1.704761117603225,1.897812170633416\times {10}^{-7}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[8,0.2,-1.577065457002586,-1.577065117479794,2.152877439567263\times {10}^{-7}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[9,0.225,-1.45996680798114,-1.459966457136014,0.24031040189155\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[10,0.25,-1.352518651767027,-1.352518293590484,0.264821958424507\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[11,0.275,-1.253866168377135,-1.253865806267094,0.288794893296854\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[12,0.3,-1.163236816647704,-1.163236453483828,0.312201250700879\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[13,0.325,-1.079931685535221,-1.079931323744703,0.335012522896386\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[14,0.35,-1.003317814415813,-1.003317456031253,0.357199566394716\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[15,0.3750000000000001,-0.9328213709509302,-0.9328210176612347,0.37873256370667\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[16,0.4000000000000001,-0.867921587851058,-0.8679212410462014,0.399581022112287\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[17,0.4250000000000001,-0.8081453712008229,-0.8081450320111808,0.4197138243813\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[18,0.4500000000000001,-0.753062503064455,-0.753062172395363,0.439099325551113\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[19,0.4750000000000001,-0.7022813700101411,-0.7022810485722395,0.45770550448811\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[20,0.5000000000000001,-0.6554451571001412,-0.6554448454360123,0.475500159942172\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[21,0.5250000000000001,-0.6122284539023104,-0.6122281524098446,0.492451163155407\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[22,0.5500000000000002,-0.572334225287471,-0.5723339342403536,0.508526753341971\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[23,0.5750000000000002,-0.5354911052748305,-0.5354908248404925,0.523695878556236\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[24,0.6000000000000002,-0.5014509770536684,-0.5014507073090047,0.537928573606622\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[25,0.6250000000000002,-0.4699868066145442,-0.4699865475596645,0.551196371715218\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[26,0.6500000000000002,-0.4408907012303547,-0.4408904528006044,0.563472737385992\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[27,0.6750000000000003,-0.4139721673928694,-0.4139719294693267,0.574733516232095\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[28,0.7000000000000003,-0.3890565457839152,-0.3890563182025485,0.584957385469922\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[29,0.7250000000000003,-0.3659836034867012,-0.3659833860463469,0.594126298141839\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[30,0.7500000000000003,-0.3446062659614799,-0.3446060584307828,0.602225909991902\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[31,0.7750000000000004,-0.3247894733560878,-0.3247892754795301,0.609245971569487\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[32,0.8000000000000004,-0.3064091475271909,-0.3064089590303193,0.615180679287268\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[33,0.8250000000000004,-0.28935125774013,-0.2893510783340781,0.620028973079328\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[34,0.8500000000000004,-0.2735109744188106,-0.2735108038042016,0.623794770163831\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[35,0.8750000000000004,-0.2587919015540582,-0.2587917394243654,0.626487125123954\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[36,0.9000000000000005,-0.2451053794687126,-0.2451052255131411,0.628120315115568\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[37,0.9250000000000005,-0.2323698505977129,-0.232369704503664,0.628713838571457\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[38,0.9500000000000005,-0.2205102817868316,-0.2205101432419988,0.628292334928207\times {10}^{-6}]}$


 ${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[39,0.9750000000000005,-0.2094576373580673,-0.2094575060522114,0.626885416451722\times {10}^{-6}]}$

${\displaystyle [i,x1,y1,\text{yE},\text{err}]=[40,1.0,-0.1991483978450135,-0.1991482734714556,0.624527422631212\times {10}^{-6}]}$