#14.xls - Numerical Solution of System dx/dt = f(t,x,y...

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bfff0939b1b14abbc052e8406e5997ffd468223d.xlsPage 1Numerical Solution of System dx/dt = f(t,x,y), dy/dt = g(t,x,y)NameMuskan Aryalf(t,x,y)0.25*x*(1-x/200-y/50)g(t,x,y)0.10*y*(1-y/100-x/100)Initial ConditionsInitial time 0Final time 200Initial x value100Initial y value25Approximation Data# of subintervals100t =0.00Type Comments Here:020406080100 120 140 160 180 200020406080100120Solution Curvesx(approx)y (approx)tx, y 80100120140160180200051015202530Phase Planexy050100150200250020406080100120140160Phase PortraitxyScroll Me
CalculationPage 2Calculation Sheet01002500110025021002500310025041002500510025061002500710025081002500910025010100250011100250121002500131002501410025001510025016100250017100250181002500191002502010025002110025022100250023100250241002500251002502610025002710025028100250029100250301002500311002503210025003310025034100250035100250361002500371002503810025003910025040100250041100250421002500431002504410025004510025046100250047100250481002500491002505010025005110025052100250053100250541002500551002505610025005710025058100250059100250601002500611002506210025006310025064100250065100250661002500671002506810025006910025070100250071100250tnxnynx'ny'ntn+1/2xn+1/2yn+1/2x'n+1/2Calculation:The modified euler method is used to compute the successive approximations.

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