Separation of variables

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Separation of variables is a technique to solve differential equations. It requires the equation to be separable; that is, the equation is of the form

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where the RHS is the product of a function of y and a function of t.

It is considered to be easier than Integrating factor when both options are available.

Procedure

Divide both sides by , integrate, and you get an Implicit equation of y in terms of t.