Do you have any non-exact differential equation example for the integrating factor $x + y$? I couldn't find any books.
2026-03-25 12:53:33.1774443213
How to find a non-exact ODE which becomes exact for a given integrating factor?
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You can take the differential equation
$$\frac{1}{x + y} + \frac{2}{x + y} y' = 0.$$
This equation is not exact, but if you use the integrating factor $\mu = x + y$, you obtain the exact differential equation
$$1 + 2y' = 0.$$