# Using an Integrating Factor to Solve a Separable Equation

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Drag the locator to change the initial condition in the autonomous equation or move the sliders for and . (An autonomous equation is one where the independent variable—here —does not appear explicitly; i.e., and are independent of .) In this case the integrating factor is determined by the constant and the solution at infinity is determined by the constant .

Contributed by: Stephen Wilkerson (March 2011)

(United States Military Academy West Point, Department of Mathematics)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This example comes from [1], Section 2.1, Modeling with First Order Equations.

Reference

[1] J. R. Brannan and W. E. Boyce, *Differential Equations with Boundary Value Problems: An Introduction to Modern Methods and Applications*, New York: John Wiley and Sons, 2010.

## Permanent Citation

"Using an Integrating Factor to Solve a Separable Equation"

http://demonstrations.wolfram.com/UsingAnIntegratingFactorToSolveASeparableEquation/

Wolfram Demonstrations Project

Published: March 7 2011