Bernoulli euquation:

An equation of the type: $D_x y+P(x)y=Q(x)y^n$ $\Rightarrow$ substitute $v=y^{1-n} \Rightarrow D_x v=(1-n)y^{-n} D_xy \Rightarrow D_x v+(1-n)P(x)v=(1-n)Q(x)$