Differential Equation Reducible to Homogeneous Form

Differential Equation Reducible to Homogeneous Form

For:

$$\frac{dy}{dx}=F\left(\frac{ax+by+c}{a'x+b'y+c'}\right)$$

choose:

$$x=X+h,\quad y=Y+k$$

such that the constant terms vanish.

Usage

- Converts certain equations involving ratios of linear expressions into homogeneous equations.