Question: problem # 2 plz Consider the IVPs d1O.v)asisb, v(a)- 1. Write a Matlab function called RK2 that solve(1) using Order 2 Runge-Kutta method. Use this
Consider the IVPs d1O.v)asisb, v(a)- 1. Write a Matlab function called RK2 that solve(1) using Order 2 Runge-Kutta method. Use this method to solve the IVP (2) with N-20, 50, 100. Call yo,yl,y2, the three results and plot the three solutions on the same graph. Make a loglog plot of absolute error at t 1 versus the number of intervals for all three methods on the same plot. Compare the solution at t with the exact solution att-1 Create Err a vector that stores the absolute error of the three solutions at t 1, Comment on the result (is the method converging or not, etc.) using %. 2. Write a Matlab function called RK4 that solve(1) using Order 4 Runge-Kutta method. Use this method to solve the IVP (2) with N- 20,50, 100. Call y3, y4, y5, the three results and plot the three solutions on the same graph. Make a loglog plot of absolute error at t1 versus the number of intervals for all three methods on the same plot. Compare the solution at1 with the exact solution at t Create Errl a vector that stores the absolute error of the three solutions at t1. Comment on the result (is the method converging or not, etc.) using %
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