Solve the following initial value problem using a time step or step size of t = 0.05 sec, where y(0) = 1, over the interval from t = 0 to 1.2 sec.
dy/dt = 5y - lny - 1.6yt^2
a) Using Euler's method (explicit or implicit)
b) Using Heun's method or Midpoint method
Requirements and Instructions:
1. Call function program for Euler's method (explicit or implicit)
2. Call function program for Heun's method or Midpoint method
Note: Please do not use built-in MATLAB functions or commands to solve this problem. There should be a parent program/file that you will make which calls the two functions that will have Euler's method code and Heun's method code in them