A Bernoulli equation is solved by

Letting u $=$ y$2$ y$1($where y$1$ is a known solution$)$ and then solving a linear equation.

Applying an integrating factor so that the equation is exact.

Letting x $=$ u $+$ h and y $=$ v $+$ k$,$ and then solving a homogeneous equation.

Letting u $=$ y$1$n and then solving a linear equation.

Letting y $=$ u x $($or x $=$ v y$)$ and then separating variables.

Implicitly differentiating with respect to x$,$ treating y as a function of x$.$

Applying an integrating factor so that the equation is linear.

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