Laplace Transform Determination/Direct Method

Solution Technique for Laplace Transform

To find the Laplace transform of a function $f$, one can evaluate it directly from the definition:

$\laptrans {\map f t} = \ds \int_0^{\to \infty} e^{-s t} \map f t \rd t$

whenever the primitive of $e^{-s t} \map f t$ can be evaluated.

Sources

• 1965: Murray R. Spiegel: Theory and Problems of Laplace Transforms ... (previous) ... (next): Chapter $1$: The Laplace Transform: Methods of Finding Laplace Transforms: $1$. Direct method