Given: $\displaystyle f(0)=0 , f\prime(0)=1$

$\displaystyle f\prime\prime + 2f\prime + 5f = t$

After taking laplace on both sides I have got ,

$\displaystyle (s^2 \tilde f(s) -1) + 2(s\tilde f(s)) + 5\tilde f(s) = \frac{1}{s^2}$

How should i proceed from here ?

Thanks