Q$9)$ Using RK$2$ Method $(2{?}^{nd}$ order$)$ to solve the high$-$order differential equation:

$y^{\text{'}\text{'}\text{'}}2y^{\text{'}\text{'}}-y^{\text{'}}3y=e^{2x},y(0)=1,y^{\text{'}}(0)=2,y^{\text{'}\text{'}}(0)=-2$

Solve the D$.$E$.$ at $x=$I with increment $h=0\mathrm{.}2.$

Q$10)$ Find the double integral ${\displaystyle \underset{-1\mathrm{.}5}{\overset{1\mathrm{.}5}{}}}{\displaystyle \underset{0\mathrm{.}75}{\overset{1\mathrm{.}25}{}}}(x^y{y}^2)dydx$ using the Simpson's rule $\frac{1}{3}.$

Use $h=x=0\mathrm{.}5$ and $k=y=0\mathrm{.}25.$