Matlab. Numerical analysis.

Use Forward Euler Method, Backward Euler Method, and Taylor's Method of Order Two to approximate the solution to the initial-value problem dy/dx = cos(pi t) + y, 0 lessthanorequalto t lessthanorequalto 2, y(0) = 2 at t = 2, with h = 0.1 and h = 0.01, respectively. Your report should have description of each method; local truncation error analysis for each method; numerical results obtained by each method including approximations and absolute errors at mesh points; your conclusion