- #1

Lily@pie

- 109

- 0

## Homework Statement

The differential equation:

(1-y

^{2}) dx + (1-x

^{2}) 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?