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.