Test 3 – Fusion of Engineering, Control, Coding, Machine Learning, and Science

1.) Write a working MATLAB code that will compute the solution of the following nonlinear equation:

(1) $\begin{align*}x^{2}+cos(x)=0\end{align*}$

using the MATLAB fsolve() function.

2.) Using the MATLAB ode45() function, solve the following ordinary differential equation:

(2) $\begin{align*}\frac{dx}{dt}=-x\end{align*}$

choose a zero initial condition.