Is there any Laplace inversion formula for any of these equations
or
the inversion is easy if , but I want to find the general form. Thank you.
Well if you take the factor of 1/d out of the square root then you get a form that is equivalent to if d = 1. So if that form is easy for you, there you go.
if d=1 then the square roots become identical (which makes it easy to invert) but if I take the factor 1/d out of the square root the equations become:
if d=1 then the square roots become identical (which makes it easy to invert) but if I take the factor 1/d out of the square root the equations become:
or
which I cannot invert.
Whoops! Right you are. I'll have a think while I'm asleep (which is very soon).