Help with a Laplace Transform Problem

Okay so I have this problem. y'' + y = g(t) for y(0) = 0, y'(0) = 1 g(t) = {t/2 for 0 = 6} I really have no idea where to start for this. I've been really stuck trying to comprehend this topic and the textbook has no good examples for something like this. How would I find an equation for g(t) and Y(s)? Thanks D:

Re: Help with a Laplace Transform Problem

Quote:

Originally Posted by

**mneox** Okay so I have this problem. y'' + y = g(t) for y(0) = 0, y'(0) = 1 g(t) = {t/2 for 0 = 6} I really have no idea where to start for this. I've been really stuck trying to comprehend this topic and the textbook has no good examples for something like this. How would I find an equation for g(t) and Y(s)? Thanks D:

So if you write $\displaystyle G(s)$ for thr LT of $\displaystyle g(t)$ what do you get whem you take the LT of $\displaystyle y''+y=g(t) $ without explicitly computing $\displaystyle G(s)$?

CB