- Problem Statement
- Hi, for a homework problem I have to prove this LaPlace transform, but I've never seen anything like this because it's in terms of x and t. I'm assuming x can just be left as constant but I'm not sure how to account for the exponent and the denominator. This definitely isn't something you can find on a table but I tried to break it down.
- Relevant Equations
- L(f(t)) = limit T ---> infinity of integral from 0 to T of e^(-st) * f(t)dt
So I could just try using the definition by taking the limit as T goes to infinity of ∫ from 0 to T of that entire function but that would be a mess. I tried breaking it down into separate pieces and seeing if I could use anything from the table but I honestly have no clue I'm really stuck. I'd appreciate any help, thank you guys.
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