Laplace transform
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The Laplace Transform of a function is a linear transformation from the space of 
(
is the space of integratable functions) defined as
\[\pound {f} (s) = F(s) = \int _{0} ^ {\infty} e^{-st} f(t) dt\] (Error compiling LaTeX. Unknown error_msg)
Uses
The Laplace Transform is a technique used to solve differential equation when some of the coefficients are not continuous functions.
We first take the Laplace Transform of the equation, then solve the resulting algebra equation for 
, and then take the inverse Laplace Transform of to get 
.
See Also
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