Write a MATLAB code to solve the initial value problem y'=e^(t-y) where with initial condition y(0)=1

Runge-Kutta ORDER FOUR METHOD

In each method, N=5,10,20,40,80,160,320,640,1280,2560.

Program must be able to display the error (E_N) at the final step t=1 for each N and calculate the ratio of errors

The exact solution for this problem is y(t)=ln(e^t + e - 1)

0