PDE - I need some help figuring out the form of solution ...

thepinkgeologist

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Feb 9, 2012
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I have a problem (I'm in the first few weeks of PDE)

u(sub yy) - x^2u = x^2
Where u = u(x,y)
And u(sub yy) means the second partial derivative of u with respect to y
x^2 is obviously "x squared"

Now, we've been using separation of variables and integrating facors to solve these equations. My first inclination here was to do an integrating factor of e^(integral x^2) but I don't feel like I'm allowed to do that when u is a second partial derivative of y. I'm only used to doing it when u is the first partial derivative in regards to a variable.

Any advice?

Thanks!
 
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