# Laplace transform problem

• Dec 2nd 2009, 08:11 PM
xcluded
Laplace transform problem
Given: $f(0)=0 , f\prime(0)=1$

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

After taking laplace on both sides I have got ,

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

How should i proceed from here ?

Thanks (Nod)
• Dec 2nd 2009, 08:22 PM
mr fantastic
Quote:

Originally Posted by xcluded
Given: $f(0)=0 , f\prime(0)=1$

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

After taking laplace on both sides I have got ,

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

How should i proceed from here ?

Thanks (Nod)

Make $\tilde f(s)$ the subject. Then get the inverse.