
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 = (qK)/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:
$\displaystyle
p T(x,p)  T_0 = c^2 \frac{d ^2 T}{d x^2}
T(0,p)= {q}/{p}
$
$\displaystyle
T(\delta,p)= $ laplace transform of given function f