## Bernoulli Differential Equations

A first order equation $\frac{dy}{dx} = f \left( x,y \right)$ is said to be a Bernoulli equation if f(x,y) is of the form $g \left( x \right) y + h \left( x \right) y^{a}$. Steps to solve $f \left( x,y \right) = g \left( x \right) y + h \left( x \right) y^{a}$: 1) Divide by ya to get $y^{-a} \frac{dy}{dx} …