this is a matlab question. Solve only if you are sure on how to do it correct.

Given the following differential equation: Write a matlab program that calculates the BACKWARD Euler solutions for n=50, n= 100, n=200, n=400. Start by deviding the time interval [0,T]=[0,8] into n equidistant steps h=T, where n is the number of steps. Then plot the exakt solution and the 4 Euler solutions in the same graph. Also plot the error in the end point in a loglog-diagram as a function of h.

please make a short explaination on how you solved it.

= sin(3+) 2y, y(0) = 1.2, t [0,8). dt