Question: Consider the IVPs dt=f(t,y), astst, y(a)=a. 1. Write a Matlab function called RK2 that solve (1) using Order 2 Runge-Kutta method. Use this method to
Consider the IVPs dt=f(t,y), astst, y(a)=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, y1,y2, the three results and plot the three solutions on the same graph. Make a log log plot of absolute error at t = versus the number of intervals for all three methods on the same plot. Compare the solution att-1 with the exact solution at 1 Create Err a vector that stores the absolute error of the three solutions at 1. Comment on the result (is the method converging or not, etc.) using
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