Chapter 9, Problem 33P

To determine

To write:

A MATLAB code to numerically solve the equation $\frac{dy}{dx}=\left(1+y^2\right)\tan x$ for $0\le x\le 0.8$ with $y\left(0\right)=\sqrt{3}$ using it’s built in function and plot the numerical solution as a solid line and the exact solution as discrete points in one figure. (Exact solution is $y=-\tan \left[\ln \left[\cos \left(x\right)\right]-\frac{\text{π}}{3}\right]$ )