Question

In: Advanced Math

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

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