Chapter 12, PROBLEM SET 12.1 #23

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This happens if a PDE involves derivatives with respect to one variable only (or can be transformed to such a form), so that the other variable(s) can be treated as parameter(s). Solve for u = u(x, y):

x^{2}u_{xx} + 2xu_{x} - 2u = 0

PROBLEM SET 12.10:

PROBLEM SET 12.11:

PROBLEM SET 12.12:

PROBLEM SET 12.3:

PROBLEM SET 12.4:

PROBLEM SET 12.6:

PROBLEM SET 12.7:

PROBLEM SET 12.9: