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
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