I guess I should clarify that I am trying to find {\cal L}^{-1} \{A\}=a(x,t) for any F(s) .
In the above equation C_2 is x . So the equation is actually A = F(s) e^{x\sqrt{-s+C_1 }} . I wrote C_2 in the place of x because I was trying to look up the transform in tables.
I had...
I've been messing around with Laplace transforms. Anyway to get to the point I arrived at a "solution" in the s domain and got stuck.
I'm trying to solve for the inverse laplace transform of A: {\cal L}^{-1} \{A\}
where A = F(s) e^{C_2\sqrt{-s+C_1 }}
and C_1,C_2 are constants and...