Do not use any computer code to answer questions $($a$),($b$)$ and $($c$).$

$($a$)$ Consider the differential equation with initial conditions y$(1)=2.$

Compute y$(1\mathrm{.}1)$ by the second order Runge$-$Kutta method $($midpoint method$)$ taking a

step length $($h$)=0\mathrm{.}1.$