Ode optional.xls - Numerical Solution to dy/dt = f(t,y...

This preview shows page 1 - 3 out of 3 pages.

c4e279d6237ad301d43781dd9cc5fe2eecbbb80e.xlsPage 1Numerical Solution to dy/dt = f(t,y)Namef(t,y)2*(2.7^(-t))*yExact solution (if known)Initial ConditionsInitial time 0Final time 8Initial y value0.25Approximation Data# of subintervals100t (time)00.2500.5000.080.2920.5380.160.3360.5730.240.3830.6040.320.4320.6290.40.4840.6500.480.5360.6660.560.5900.6770.640.6440.6830.720.6990.6840.80.7540.6810.880.8080.6740.960.8620.6641.040.9140.6511.120.9660.6351.21.0160.6171.281.0640.5971.361.1110.5761.441.1560.5531.521.2000.5301.61.2410.5071.681.2810.4831.761.3190.4591.841.3540.4361.921.3880.41221.4200.3902.081.4510.3682.161.4790.3462.241.5060.3262.321.5310.306yapproxyexacty'approxType Comments Here:0123456780.0000.2000.4000.6000.8001.0001.2001.4001.6001.8002.000Modified Euler Methodty
CalculationPage 2Calculation Sheet00.2500.040.2500.080.2500.120.2500.160.2500.20.2500.240.2500.280.2500.320.2500.360.2500.40.2500.440.2500.480.2500.520.2500.560.2500.60.2500.640.2500.680.2500.720.2500.760.2500.80.2500.840.2500.880.2500.920.2500.960.25010.2501.040.2501.080.2501.120.2501.160.2501.20.2501.240.2501.280.2501.320.2501.360.2501.40.2501.440.2501.480.2501.520.2501.560.2501.60.2501.640.2501.680.2501.720.2501.760.2501.80.2501.840.2501.880.2501.920.2501.960.25020.2502.040.2502.080.2502.120.2502.160.2502.20.2502.240.2502.280.2502.320.2502.360.2502.40.2502.440.2502.480.2502.520.2502.560.2502.60.2502.640.2502.680.2502.720.2502.760.2502.80.2502.840.250tnyny'ntn+1/2yn+1/2y'n+1/2tnyexactEuler's method: We have

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture