Using MATLAB:
Consider the following Boundary Value Differential Equation:
y''+4y=0
y(0)=-2
y(Ï€/4)=10
Which has the exact solution: y(x)= -2cos(2x)+10sin(2x)
Create a program that will allow the user to input the step size(in x), and two guesses for y'(0). The program will then use theEuler method along with the shooting method to solve this problem.The program should give the true error at y(π/8). Run your codewith step sizes of π/400 and π/4000 and compare the errors. Choseany guesses for y'(0) that are reasonable. Also list the two errorsyou calculated.
