- #1
NeedPhysHelp8
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Homework Statement
[tex] u_{xxx} - 3u_{xxy} + 4u_{yyy} = e^{x+2y} [/tex]
The Attempt at a Solution
Ok so I tried doing the following to solve the homogeneous equation
\begin{align*}
u_{xxx} + u_{xxy} - 4u_{xxy} + 4_{yyy} = 0 \\
[d^{2}x(dx -dy) - 4dy(dx + dy)(dx -dy)]u = 0 \\
[(dx - dy)[d^{2}x - 4dxdy - 4d^{2}y]u = 0 \\
(dx -dy)(dx - (2+ /sqrt{5})dy)(dx - (2 - /sqrt{5})dy)u = 0
\end{align*}
Is this correct? Seems way too hard... I'm sure I did something incorrectly.
Thanks!