Solve the following problem with MATLAB ..NO handwriting ... I need MATLAB code please if you don't have matlab DON'T answer the question please :

Problem 1: Consider the following Initial Value Problem (IVP) where y is the dependent variable and t is the independent variable y' = sin(t) * (1-y) with y(0) = yo and t 0 Note: the analytic solution for this IVP is y(t) 1(Vo 1)ecos(t)-1 Part 1A: Approximate the solution to the IVP using Euler's method with the following conditions: Initial condition yo- time step h - and time interval t E [0,20] +Derive the recursive formula for Euler's method applied to this IVP + Plot the Euler's method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot Part 1B: Approximate the solution to the IVP using the Improved Euler's method with the following conditions: Initial condition yo , time step h ; and time interval t E [0,20] + Derive the recursive formula for the Improved Euler's method applied to this IVP + Plot the Improved Euler's method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot 16 Part 1C: Approximate the solution to the IVP using the RK4 method with the following conditions Initial condition Yo , time step h ; and time interval t E [0,201 + Plot the RK4 method approximation + Plot the absolute error between the approximation and the exact solution using a semilog plot 16