Thread: 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.

he wrote my question but from diffrent prespective
our original equation was:


laplace transform of given function f