In: Advanced Math
Obtain an estimate for the value of e by approximating the solution of the following initial value problem at t = 1
y'=y y0=1
Use a step size of 0.25. Apply Euler’s Method, the Midpoint Method, and the Improved Euler’s Method in order to approximate the solution to this problem. Calculate the absolute relative true percent error using seven significant figures. Calculate this error for each method and only for the last iteration.