Separation of variables: Difference between revisions
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(Created page with "'''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 <math> y' = F(y) G(t) </math> where the RHS is the product of a function of y and a function of t. = Procedure = Divide both sides by <math>F(y)</math>, integrate, and you get an Implicit equation of y in terms of t. Category:Differential Equations") |
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where the RHS is the product of a function of y and a function of t. | 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 = | = Procedure = | ||
Revision as of 23:29, 23 April 2024
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
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.
