03 May '11 08:04>
Originally posted by joe shmoYou can rewrite the differential equation as:
yeah, apparently Laplace transforms are ?only? good for DE's with constant coeficients?
I guess the way to go about this one is using integration factor method for first order linear ODE's.
Can anybody show me why the Laplace doesn't supposedly work for non-constant coeficients?
p dh/dp + h - RT/g = 0
dh/dp + h/p - RT/(gp) = 0
Again, you should probably nondimensionalize the equation here, but I'm too lazy to that for you.
The Laplace transform of h/p is an integral over H(s). You don't get an algebraic equation in H(s).