Cauchy's Problem

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You can get different solutions of the boundary problem ,
by dragging the locator. The background graphic represents the vector field associated with the solutions of the differential equation, showing the direction of the tangent line at each point.
Contributed by: Pablo Alberca Bjerregaard (University of Malaga, Spain) (March 2011)
Open content licensed under CC BY-NC-SA
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"Cauchy's Problem"
http://demonstrations.wolfram.com/CauchysProblem/
Wolfram Demonstrations Project
Published: March 7 2011