Abernoulli differential equation is one of the form dxdy+p(x)y=q(x)yn observe that, if n=0 or 1, the bernoulli equation is linear. for other values of n, the substitution u=y1−n transforms the bernoulli equation into the linear equation dxdu+(1−n)p(x)u=(1−n)q(x) use an appropriate substitution to solve the equation xy+y=4xy2