I am attempting to solve a second order differential, but I am have never done anything like this. I was told that it was a good Idea to think about fourier transforms.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{d^{2}q}{dx^{2}}=\frac{dq}{dt}[/tex]

Boundary Conditions:

[tex]q(+/-\infty,t)=0[/tex]

[tex]q(x,0)=S_{0}\delta(x)[/tex]

Apparently the final solution is:

[tex]q(x,t)=\frac{S_{0}exp[\frac{-x^{2}}{4t}]}{\sqrt{4(\pi)t}}[/tex]

If you were wondering the problem statement:

Determine the slowing down density established by a monoenergetic plane source at the origin of an infinite moderating medium as given by age-diffusion theory.

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# Age Diffusion Theory and Fourier Transforms

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