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Laplace Transform of e^(at) sin(wt) and e^(at) cos(wt)
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This video if part of the notes: Basic procedures in ordinary differential equations that can be downloaded at:
We proof the formula formula L[e^(at)f(t)] = F(s-a) and then we compute the Laplace Transform of e^(at) sin(wt) and e^(at) cos(wt). We do some particular example of Laplace Transform inverse of expression like (as+b)/(s^2+cs+d). We emphasize the importance of completing squares and the importance of rewriting an expression
We proof the formula formula L[e^(at)f(t)] = F(s-a) and then we compute the Laplace Transform of e^(at) sin(wt) and e^(at) cos(wt). We do some particular example of Laplace Transform inverse of expression like (as+b)/(s^2+cs+d). We emphasize the importance of completing squares and the importance of rewriting an expression
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