# Math Help - Laplace Transform Help

1. ## Laplace Transform Help

I'll use "L" to denote the Laplace Transform..I'm having trouble with acouple homework problems..any input would help

L{sin(2t)} and L{e^3tsin(2t)}

Can you check and see if my answers are correct

L{sin(2t)} = 2/(s^2+4)

L{e^3tsin(2t)} = 2/(s-3)^2 +4

2. Originally Posted by chief27
I'll use "L" to denote the Laplace Transform..I'm having trouble with acouple homework problems..any input would help

L{sin(2t)} and L{e^3tsin(2t)}

Can you check and see if my answers are correct

L{sin(2t)} = 2/(s^2+4)

L{e^3tsin(2t)} = 2/(s-3)^2 +4
the easiest way to check is by using an inverse-Laplace transform table. So i can tell you yes they are both right. the inverse laplace of
sin(At) = A/(s^2 + A^2) and your second question is the same thing with a time shift applied.

cheers