- #1

DuckAmuck

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- TL;DR Summary
- Second order linear partial differential equation

Is it possible to use separation of variables on this equation?

[tex] au_{xx} + bu_{yy} + c u_{xy} = u + k[/tex]

Where u is a function of x and y, abck are constant.

I tried the u(x,y) = X(x)Y(y) type of separation but I think something more clever is needed.

Thank you.

[tex] au_{xx} + bu_{yy} + c u_{xy} = u + k[/tex]

Where u is a function of x and y, abck are constant.

I tried the u(x,y) = X(x)Y(y) type of separation but I think something more clever is needed.

Thank you.