Q$2.$ Solve the following initial value problem over the interval from $x=2\mathrm{.}5$ to $x=3\mathrm{.}5$ with a step size of $0\mathrm{.}5$ and initial value of $y(2\mathrm{.}5)=3\mathrm{.}27388.$ Solve the problem using second order Runga Kutta method.

$\frac{dy}{dx}=-0\mathrm{.}5y+e^{-x}$

Q$3-$ Estimate the first and second derivative of $\frac{e^x}{x-2}x$ at $x=0\mathrm{.}5$ using a good numerical solution method.