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Solution curves for Diff Eq


I am using Mathematica to play around with solution curves of
differential equations.  I can get the plot to do multiple
solution curves in some cases, but when the curve is not within the plot 
range, my version of mathematica goes crazy with a recurssive call.

Is there a way to write a function which will take a diffeq, solve it, 
and plot a set of solution curves for a list of initial values or BVPs?

Thanks ahead of time.
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