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

3.3.18.1 Integrating factor that depends on \(x\) only
3.3.18.2 Integrating factor that depends on \(y\) only
3.3.18.3 Third integrating factor

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.