Not exact ode but can be made exact with integrating factor

1.2.15 Not exact ode but can be made exact with integrating factor

1.2.15.1 First integrating factor \(\mu \left ( x\right ) \) that depends on \(x\) only
1.2.15.2 Second integrating factor \(\mu \left ( y\right ) \) that depends on \(y\) only
1.2.15.3 Third integrating factor \(\mu \left ( xy\right ) \)

ode internal name "exactWithIntegrationFactor"

This has the form \(M\left ( x,y\right ) +N\left ( x,y\right ) y^{\prime }=0\) where \(\frac {\partial M}{\partial y}\neq \frac {\partial N}{\partial x}\) where there exist integrating factor \(\mu \) such that \(\mu M\left ( x,y\right ) +\mu N\left ( x,y\right ) y^{\prime }=0\) becomes exact. Three methods are implemented to ﬁnd the integrating factor.

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