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Math Help - Laplace Transform of...

  1. #1
    Newbie
    Joined
    Dec 2005
    Posts
    13

    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.
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  2. #2
    Junior Member
    Joined
    Dec 2005
    Posts
    34
    he wrote my question but from diffrent prespective
    our original equation was:

    <br />
p T(x,p) - T_0 = c^2 \frac{d ^2 T}{d x^2}<br /> <br />
T(0,p)= {q}/{p}<br />
    <br />
T(\delta,p)=  laplace transform of given function f
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