In this section we solve separable first order differential equations, i.e. differential equations in the form N(y) y' = M(x). We will give a derivation of the solution process to this type of differential equation. We’ll also start looking at findi

Separation of variables is a common method for solving differential equations. Learn how it's done and why it's called this way. If you're seeing this message, it means we're having trouble loading external resources on our website.

Solve for by plugging into the resulting expression. Solutions to differential equations are not unique, because antiderivatives are not unique. The non-uniqueness of these solutions is seen by the arbitrary constants that come out. For first-order ordina