Laplace Transform

Definition

1

t

t²

t^η

t^α

e^αt

cos wt

sin wt

cosh at

sinh at

e^at cos wt

e^at sin wt

Laplace of Unit step function UsubC(t)

e^cs times the L trasform of the original function.

Unit step example sin(t-π)u(t-π) is

(e^-πs)1/s²+1