Families of Solutions for ODEs

This Demonstration explores families of solutions of an ordinary differential equation (ODE) of the form ((dy)/(dx))=f(x,y), which are plotted using the vector field (1,f(x,y) ). For each choice of f 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.

THINGS TO TRY

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Contributed by: Gosia Konwerska

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