NDSolve and Parametric Plot

*To*: mathgroup at smc.vnet.net*Subject*: [mg85430] NDSolve and Parametric Plot*From*: Alex Cloninger <acloninger at wustl.edu>*Date*: Sun, 10 Feb 2008 05:17:48 -0500 (EST)

So I'm trying to run a simple program that will solve this series of differential equations and plot the the x[t] function in the complex plane. Here's my code. solution = NDSolve[{x'[t] == 2p[t], x[0] == 2, p'[t] == -2x[t], p[0] == Sqrt[-3]}, {x, p}, {t, 0, 2*Ï?}] repart[t_] := Re[x[t] /. solution] impart[t_] := Im[x[t] /. solution] ParametricPlot[{repart[t], impart[t]}, {t, 0, 2Ï?}, PlotRange -> {{-2, 2}, {-2,2}}] For some reason, when I go to plot the curve, I get an error saying ParametricPlot::pptr: {repart[t], impart[t]} does not evaluate to a pair of real numbers at t=2.617993877991494`*^-7 What's going on? Could someone please help me with this?