# Families of Solutions for ODEs

Families of Solutions for ODEs

This Demonstration explores families of solutions of an ordinary differential equation (ODE) of the form =f(x,y), 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.

dy

dx

(1,f(x,y))

f