Chapter 9, Problem 32P

Use a MATLAB built-in function to numerically sove:

$\frac{dy}{dx}=-y{x}^2+1.5y$ for $0\le x\le 3$ with $y(0)=2$

In the figure plot the numerical solution as a solid line and the exact solution as discrrete poins.

Exact solution: $y=2e^{-(2x^3-9x)/6}$ .