For the following differential equation:

$\frac{dy}{dt}=5e^{0\mathrm{.}6t}-2y$; for $0t3,y(0)=1\mathrm{.}5n=5.$

a$)$ Solve this differential equation by using fourth$-$order Runge$-$Kutta Method.

b$)$ Draw the flow chart of the algorithm for the solution of this solution.

c$)$ Perform the following;

i$)$ Write the MATLAB Code $(m-$script$)$ on the answer sheet.

ii$)$ Add explanation $($comment$)$ with $(\%)$ for each line of MATLAB Code.

iii$)$ Build the $m-$script in MATLAB.

iv$)$ Run the m$-$script file and demonstrate the solution as screenshot using the "print screen" button on the keyboard.