Author Topic: When is it a good idea to assume solutions are separable?  (Read 614 times)

Issra

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When is it a good idea to assume solutions are separable?
« on: February 23, 2023, 07:56:27 PM »
When is it a good idea to assume solutions are separable? Are there any implied assumptions about the nature of the solutions when we assume that they are separable?

Victor Ivrii

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Re: When is it a good idea to assume solutions are separable?
« Reply #1 on: February 27, 2023, 09:28:36 AM »
If domain is "simple" in the appropriate coordinate system it is a good idea to try to find such solutions. For linear equations we even can construct general solutions as linear combinations of such solutions. Details in the class later.