Math307
Integrating Factors With Exact Equations
the idea here is that if the equation is not exact, maybe we can find some {$\mu$} where {$ (\mu M)_y = (\mu N)_x $}. this is the case when {$\frac{M_y -N_x}{N}$} is a function of x only. The integrating factor can then be found by plugging in to the following equation:
{$\frac{d\mu}{dx} = \frac{M_y-N_x}{N}\mu$}
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