Consider the BVP

$y^{\text{'}\text{'}}+y+t=0,y(0)=0,y(1)=0\mathrm{.}5.$

Solve this BBP using central difference method with $N=11$ and $N=21$ number of equally spaced points. Exact solution is $y(t)=-0\mathrm{.}5t^2+t.$ Plot your solutions.