ODE_ch6_14.xls - Numerical Solution of System dx/dt =...

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6c105d8243cdf5a2057414cf719d8d84ff6dad19.xlsPage 1Numerical Solution of System dx/dt = f(t,x,y), dy/dt = g(t,x,y)NameKaiya Finef(t,x,y)-x+0.1*x*yg(t,x,y)y-.2*x*yInitial ConditionsInitial time 0Final time 15Initial x value2Initial y value4Approximation Data# of subintervals100t =0.00Type Comments Here:0246810121400.511.522.533.544.5Solution Curvesx(approx)y (approx)tx, y 1.522.533.5400.511.522.533.544.5Phase Planexy02468101214051015202530Phase PortraitxyScroll Me
CalculationPage 2Calculation Sheet024000.0752400.1524000.2252400.324000.3752400.4524000.5252400.624000.6752400.7524000.8252400.924000.9752401.0524001.1252401.224001.2752401.3524001.4252401.524001.5752401.6524001.7252401.824001.8752401.9524002.0252402.124002.1752402.2524002.3252402.424002.4752402.5524002.6252402.724002.7752402.8524002.925240324003.0752403.1524003.2252403.324003.3752403.4524003.5252403.624003.6752403.7524003.8252403.924003.9752404.0524004.1252404.224004.2752404.3524004.4252404.524004.5752404.6524004.7252404.824004.8752404.9524005.0252405.124005.1752405.2524005.3252405.424005.475240tnxnynx'ny'ntn+1/2xn+1/2yn+1/2x'n+1/2Calculation:The modified euler method is used to compute the successive approximations. T

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