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Solve the following ODE, y' + 2y = x+4, y(0) = 1 using. a. Approximate y (0.4) second order Runge-Kutta with h=0.2 and y(0)=0. b. Using the previous results use Adam-Bashforth(predictor) two step explicit method in conjunction with Adam-Moulton two step implicit method (corrector) to approximate y (0.8) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 2nd order Runge-Kutta with h=0.2 and y (0) =1

Solve the following ODE, y' + 2y = x+4, y(0) = 1 using. a. Approximate y (0.4) second order Runge-Kutta with h=0.2 and y(0)=0. b. Using the previous results use Adam-Bashforth(predictor) two step explicit method in conjunction with Adam-Moulton two step implicit method (corrector) to approximate y (0.8) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 2nd order Runge-Kutta with h=0.2 and y (0) =1

C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter14: Numerical Methods
Section14.3: Refinements To The Bisection Method
Problem 4E
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Solve the following ODE, y' + 2y = x+4, y(0) = 1 using. a. Approximate y (0.4) second order Runge-Kutta with h=0.2 and y(0)=0. b. Using the previous results use Adam-Bashforth(predictor) two step explicit method in conjunction with Adam-Moulton two step implicit method (corrector) to approximate y (0.8) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 2nd order Runge-Kutta with h=0.2 and y (0) =1
Transcribed Image Text:Solve the following ODE, y' + 2y = x+4, y(0) = 1 using. a. Approximate y (0.4) second order Runge-Kutta with h=0.2 and y(0)=0. b. Using the previous results use Adam-Bashforth(predictor) two step explicit method in conjunction with Adam-Moulton two step implicit method (corrector) to approximate y (0.8) with h=0.01 c. Use MATLAB to approximate and plot the solution from x=0 to x=1 using 2nd order Runge-Kutta with h=0.2 and y (0) =1
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