Using an Integrating Factor to Solve a Separable Equation

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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



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


[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.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.