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laplace transform of some standard functions
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The laplace transform of f(t) is
This is usually denoted by F(s)

f(t)
L{f(t)}
F(s)
Lֿ¹{F(s)}

1


1
e-at,  a>0


e-at

tn
n is a positive integer



tn

cos(at)


cos(at)

sin(at)




cosh(at)

cosh(at)
sinh(at)






== ==






e

(index of articles)
some problems on laplace transforms
inverse laplace transform of  s / [(s+3)2 +1]    -----> (inverse laplace transorm problem)

inverse laplace transform of  1/ (s^2 + 1) ( s^2 - 2s + 7)    -----> (inverse laplace transorm problem)

(trig. formulae
(integration formulae)
(other math problems without classification) (formulae on differentiation)
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