Chapter 6.2, Problem 7CP

Calculate the Trapezoid Method approximate solution on [0, 4] for the differential equation $y\text{'}\sin y$ and initial condition (a) $y_0=0$ (b) $y_0=100$, using step sizes $h=0.1\times 2^{-k}$ for $0\le k\le 5$. Plot the $k=0$ and $k=5$

approximate solutions along with the exact solution see Exercise 6.1.15), and make a log-log plot of the error at $t=4$ as a function of h.