So there's this equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x^2 y^2 dx + (x^3y-1)dy[/tex]

It has to be solved with the integrating factor method, so I get this:

[tex]\mu(y) = e^{\int \frac{dy}{y}} = e^{\ln{|y|}} = |y|[/tex]

My question is, what do I do with the absolute value bars?

If I just drop them and multiply the entire equation withy, then I can solve the equation and get:

[tex]2x^3 y^3 - 3 y^2 = C[/tex]

Which is the correct answer.

But I'm not sure that dropping it will always be correct, so what should be done here?

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# Integrating Factor Question

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