Fourier transform

Thread Starter

boks

Joined Oct 10, 2008
218
Find the Fourier transform \[\hat{u}(w,t) = \frac{1}{\sqrt{2 \pi}} \int^{\infty}_{- \infty}u(x,t)e^{(-ixw)}dx\] of the general solution u(x,t) of the PDE \[u_{t}= u_{xx} - u\]

Should I start by solving the PDE, or is there another way to do it?
 
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