# Families of Solutions for ODEs

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This Demonstration explores families of solutions of an ordinary differential equation (ODE) of the form , which are plotted using the vector field . For each choice of you can see how the solutions depend on the value of the parameters; in some cases going from negative to positive values causes a significant change in the behavior of the solutions.

Contributed by: Gosia Konwerska (March 2011)

Open content licensed under CC BY-NC-SA

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"Families of Solutions for ODEs"

http://demonstrations.wolfram.com/FamiliesOfSolutionsForODEs/

Wolfram Demonstrations Project

Published: March 7 2011