ODE_ch3_19b_complete.xls - Numerical Solution to dy/dt =...

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8d865fd891b2196278e7112a9867fca37378bad3.xlsPage 1Numerical Solution to dy/dt = f(t,y)Namef(t,y)y*sin(t)Exact solution (if known)2.7183*exp(-cos(t))Initial ConditionsInitial time 0Final time 20Initial y value1Approximation Data# of subintervals200t (time)01.0001.0000.0000.11.0051.0050.1000.21.0201.0200.2030.31.0461.0460.3090.41.0821.0820.4210.51.1301.1300.5420.61.1901.1910.6720.71.2641.2650.8150.81.3531.3540.9710.91.4591.4601.14311.5821.5841.3311.11.7251.7271.5371.21.8901.8921.7611.32.0772.0802.0021.42.2902.2932.2561.52.5282.5332.5221.62.7942.7992.7921.73.0863.0923.0601.83.4053.4123.3161.93.7483.7563.54724.1134.1213.7402.14.4944.5033.8792.24.8864.8963.9512.35.2825.2923.9392.45.6725.6833.8312.56.0466.0573.6182.66.3936.4043.2962.76.7036.7132.8652.86.9646.9742.3332.97.1677.1781.715yapproxyexacty'approxType Comments Here:19. b)(n, y(20))y(20) exact = 1.807(50, 1.806)(100, 1.803)(200, 1.806)The graphs are satisfied using n=200024681012141618200.0001.0002.0003.0004.0005.0006.0007.0008.000Modified Euler Methodty
CalculationPage 2Calculation Sheet0100.051001.0000070.1100.15100.11.0000070.2100.25100.21.0000070.3100.35100.31.0000070.4100.45100.41.0000070.5100.55100.51.0000070.6100.65100.61.0000070.7100.75100.71.0000070.8100.85100.81.0000070.9100.95100.91.0000071101.051011.0000071.1101.15101.11.0000071.2101.25101.21.0000071.3101.35101.31.0000071.4101.45101.41.0000071.5101.55101.51.0000071.6101.65101.61.0000071.7101.75101.71.0000071.8101.85101.81.0000071.9101.95101.91.0000072102.051021.0000072.1102.15102.11.0000072.2102.25102.21.0000072.3102.35102.31.0000072.4102.45102.41.0000072.5102.55102.51.0000072.6102.65102.61.000007

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