Given the following ODE, y' + 5y = sin(x) a. Approximate by hand y (0.03) using 4th order Runge-Kutta with h=0.01 and y(0)=0. b. Using the previous results use Adam-Bashforth three step explicit method to approximate y (0.05) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 4th order Runge-Kutta with h=0.01 and y (0) =1.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter21: Simulation
Section21.5: Simulations With Continuous Random Variables
Problem 4P
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Given the following ODE, y' + 5y = sin(x)
a. Approximate by hand y (0.03) using 4th order Runge-Kutta with h=0.01
and y(0)=0.
b. Using the previous results use Adam-Bashforth three step explicit method
to approximate y (0.05) with h=0.01
c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using
4th order Runge-Kutta with h=0.01 and y (0) =1.
Transcribed Image Text:Given the following ODE, y' + 5y = sin(x) a. Approximate by hand y (0.03) using 4th order Runge-Kutta with h=0.01 and y(0)=0. b. Using the previous results use Adam-Bashforth three step explicit method to approximate y (0.05) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 4th order Runge-Kutta with h=0.01 and y (0) =1.
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