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## Main Question or Discussion Point

Hello !

I'm having a hard time finding the exact hypotheses which would allow me to use the separation of variables method for partial differential equations.

I want a clear statement telling me 'when you have that very kind of partial differential equation (with precise boundary and initial conditions), you can apply the method'.

I'd be glad if someone could write me the full theorem or give me a good link.

Thank you ! ;-)

I'm having a hard time finding the exact hypotheses which would allow me to use the separation of variables method for partial differential equations.

I want a clear statement telling me 'when you have that very kind of partial differential equation (with precise boundary and initial conditions), you can apply the method'.

I'd be glad if someone could write me the full theorem or give me a good link.

Thank you ! ;-)