(adsbygoogle = window.adsbygoogle || []).push({}); How to define Laplace transforms and their complex values?

1. The problem statement, all variables and given/known data

the tutorial question asks to compute the Laplace transform of cos(3t) without using linearity theorem

it then asks where the laplace transform is defined in terms of complex values

2. Relevant equations

L(f(t))=s/s^2+a^2

3. The attempt at a solution

now it's been a while since I did Laplace but what I get just from looking at the standard Laplace table is s/[(s^2)+9] obviously, is there something else I'm missing here in terms of linearity or?

I must also confess that i don't recall complex values relating to Laplace other than the fact that 's' is complex in the sense that it gives a+bi for instance. It's not defined just for {R} is it?

any pointers you could give me on this would be just great guys and girls! thanks a lot.

-chief10

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# Homework Help: Defining Laplace transforms and their complex values

**Physics Forums | Science Articles, Homework Help, Discussion**