how to find Laplace transform of e^at

Question : How to find Laplace transform of e^at ? Using this find Laplace transform of (i) e^(t)(ii) e^(3t)Solution :Laplace transform of a function f(t) is obtained as \[ L\left[f\left(t\right)\right]=\int_{0}^{\infty}{e^{-st}f\left(t\right)dt\ \ \ }……(1) \] So Laplace transform of e^(at) is…

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