Maple 9 Learning Guide - Maplesoft

254 • Chapter 7: Solving Calculus Problems> sol1(1);[t = 1., x(t) = 5.58216755967155986,y(t) = 7.82688931187210280]Use the odeplot command to plot y(t) against x(t),> odeplot( sol1, [x(t), y(t)], -3..1, labels=["x","y"] );86y420–22 3 4 5 6x–4x(t) and y(t) against t,> odeplot( sol1, [t, x(t), y(t)], -3..1,> labels=["t","x","y"], axes=boxed );y8–42–3x61tor any other combination.Important: Use caution when using numeric methods because errors canaccumulate in floating-point calculations. Universal rules for preventingthis effect do not exist; no software package can anticipate all conditions.The solution is to use the startinit option to make dsolve (or ratherthe procedure which dsolve returns) begin at the initial value for everycalculation at a point (x, y(x)).