Find the inverse Laplace transform?

[Success]

Homework Statement

Find the inverse Laplace transform of e^(-3pi*s)/(s^2+2s+3).

Homework Equations

I know that you're supposed to factor out the e^(-3pi*s) and the other part becomes 1/(s+1)^2+2 but how do you get the answer? I'm confused.

The Attempt at a Solution

The answer is y=(1/sqrt(2))u_3pie^(-(t-3pi))*sin(sqrt(2))(t-3pi)

 

[Ray Vickson]

Homework Statement

Find the inverse Laplace transform of e^(-3pi*s)/(s^2+2s+3).

Homework Equations

I know that you're supposed to factor out the e^(-3pi*s) and the other part becomes 1/(s+1)^2+2 but how do you get the answer? I'm confused.

The Attempt at a Solution

The answer is y=(1/sqrt(2))u_3pie^(-(t-3pi))*sin(sqrt(2))(t-3pi)

Show your work. According to PF Rules you are not supposed to just ask us to do the problem for you.

 

[Success]

I already did some work in #2 template. I really don't know what to do next.

 

[LCKurtz]

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