- #1
Lily@pie
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Homework Statement
The differential equation:
(1-y2) dx + (1-x2) dy = 0
the integrating factor is of the form μ(x,y) = f(xy). Find f
2. The attempt at a solution
I have tried many times to get a function of (xy) such that the LHS of the differential equation to be exact.
I have tried the integrating factor 1/[(1-y^2)(1-x^2)] and it works... but it is definitely not a function of the term (xy)...
Any hints on how should I find it? Or is there any formal way to find it?