How would you go about finding which of the following PDEs can be separated into ODEs...

How would you go about finding which of the following PDEs can be separated into ODEs by assuming a product of unknown functions x,y, and z?

1) aUxy+bU=0

2) x^2Uxx+yUyy=0

3) Uxx+3Uxy+7Uy=0

4)Uxx+Uyy+Ux+Uy=0

Expert Solution

Colby Messinger answered 2 years ago

How would you do the work to find which PDEs below can be separated into ODEs...

How would you do the work to find which PDEs below can be separated into ODEs by assuming a product of unknown functions x,y and z? 1) Uxx+Uyy+Uzz=0 2) Uxx+Uyy+Ux+Uy=0 3) Uxx+3Uxy+Uyy=0 4) Uxx+3Uxy+7Uy=0 5) x^2Uxx+yUyy=0 6) aUxy+bu=0

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