Toronto Math Forum

APM346-2023S => APM346--Lectures & Home Assignments => Chapter 4 => Topic started by: Issra on February 23, 2023, 07:56:27 PM

Title: When is it a good idea to assume solutions are separable?
Post by: Issra 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?

Title: Re: When is it a good idea to assume solutions are separable?
Post by: Victor Ivrii 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.