Inverse Fourier Tranform of Transmission Lines Wave Equation

[NZBRU]

Homework Statement

From the derivation of v(x,t) and i(x,t) I am stuck on how the inverse Fourier transform of e^(-jwx/u) was calculated. I am trying to understand how the PDE was fully solved here: http://fourier.eng.hmc.edu/e84/lectures/transmission_line/node1.html

Homework Equations

Not sure what rule to implement here, working using laplace transforms (s = jw) to perform Fourier transformations to avoid integration.

The Attempt at a Solution

 

[vela]

Your notation and writing are a mess. You have f as a function of x in some places, of t in other places, and x and t in yet other places. Why don't you start by clearly defining what the problem is and writing it out carefully.

 

[LCKurtz]

And type it instead of posting an image.