/b/ was completely useless in this. I'm working on a PDE and what I've done is pretty much just blowing up in my face (paper)?
No, it's not homework, just for fun, and I already have an answer. I'm more interested in how to GET the answer and what steps I should take, because I'm thoroughly confused.
Forgive my shit camera.
Bump for patheticness
>>7957292
It looks like the nonhomogenious heat equation, so it's amenable to separation. Enjoy.
>>7957300
Dubs have spoken.
Unrelated, but what (non-numerical) methods are used besides separation? I've yet to see them.
>>7957302
You can also use integral transforms. Power and Fourier series, in fact it's often the case that when you use a Fourier transform you'll end up with a solution as a Fourier series.
My answer depends on this: Is this for a quantam mechanics class or an intermediate level diff EQ class as an engineer?
>>7957292
>asking /b/ for anything math related
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>>7957292
>/b/ was completely useless
>Expecting neets to be useful
>>7957507
We are NEETs though. We just happen to sperg on science and math rather than child porn and other degeneracy on /b/
Find the eigenfunctions [math]C_n (x,t) = X(x) T(t)[/math] and apply boundary conditions, solve for the coefficients [math]C(x,t) = \sum A_n C_n (x,t)[/math] using the initial data [math]f[/math]. Interesting thing with this equation is that, unlike the normal heat equation, its eigenvalues are not strictly negative, allows for some unique behavior (compared to the usual heat solution).
