Hey Guys

Literally do not know where to start on this one. I've only learnt Multiplicative separation but I think I might be over thinking it.

I've uploaded a capture below

Adam

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- Mar 27th 2012, 04:44 AMpaiggeyAdditive PDE Help
Hey Guys

Literally do not know where to start on this one. I've only learnt Multiplicative separation but I think I might be over thinking it.

I've uploaded a capture below

Adam - Mar 27th 2012, 07:13 AMProve ItRe: Additive PDE Help
Assuming that is a constant, you have and if we let , since the first term is only a function of and the second is only a function of , then evaluating derivatives gives and , and substituting gives

Since the left hand side is only a function of and the right hand side is only a function of , the only way they can be equal is if they are both equal to some constant value . This gives

which are two ordinary differential equations :)