# Laplace Transform of...

• June 15th 2006, 11:51 AM
Red_Fox
Laplace Transform of...
Hi everybody!
I need help with this problem:

I need to find the inverse laplace transform of:
A*exp(c*x*sqrt(p)) + B*exp(-c*x*sqrt(p)) + K/p

when: the inverse laplace trasform if a function of p
x is constant (for the transform) , and also c and K.
In addition I know that A+B = (q-K)/p (q is constant)
so in fact A and B are (both, almost for sure. however, at least one) functions of p - but I don't how to solve it.....

I hope that someone will help (:
Thank you very much,
RedFox.
• June 15th 2006, 01:34 PM
mooshazz
he wrote my question but from diffrent prespective
our original equation was:

$
p T(x,p) - T_0 = c^2 \frac{d ^2 T}{d x^2}

T(0,p)= {q}/{p}
$

$
T(\delta,p)=$
laplace transform of given function f