Toronto Math Forum
APM3462016F => APM346Lectures => Chapter 5 => Topic started by: Shaghayegh A on December 10, 2016, 02:55:06 PM

I'm stuck on Problem 7 of the 2015 S final exam: http://forum.math.toronto.edu/index.php?topic=606.0 (link also includes prof's solution)
He gets $$\begin{equation*} \hat{u}(k,t)=ik (2\pi)^{1} e^{k^2a^2 /2} \end{equation*}$$ and he's trying to solve for u(x,t). I don't understand how he gets u(x,t); I know he's using the properties of fourier transforms, but I don't know how to go backward from the fourier transform to the inverse fourier transforms! Thanks