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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.
//===================  (0-0)  ======================================//
//          ____/___oOO_(_)_OOo__       scawa at    //
//         (   / /_ \  / /_             scawa at         //
// _________) / /__  \/ /__                                         //
// If you are not part of the solution,      "Phase diagrams are    //
// you are part of the problem (or maybe      your friend"          //
// a colloidal suspension or a                  --Brian Hales Ph.D. //  
                // precipitant).                                        

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