Unformatted text preview: x[t]:=solx y[t]:=soly z[t]:=solz traj=ParametricPlot3D[{x[t],y[t],z[t]},{t,0,5}] If the equations for x ( t ) , y ( t ) and z ( t ) are already known, then only the last instruction need be given. For example, if it is known that x ( t ) = e t , y ( t ) = 2 e t − e 2 t + 2 te t and z ( t ) = 4 te t − e 2 t + 3 e t then all that is required is traj=ParametricPlot3D[{e t ,2e te 2t +2te t ,4te te 2t +3e t }, {t,0,5}] Equation (4.36) with Maple The input instructions are restart; with(plots): sys:={diff(x(t),t)=x(t),diff(y(t),t)=x(t)+3*y(t)z(t), diff(z(t),t)=2*y(t)+3*x(t),x(0)=1,y(0)=1,z(0)=2}; vars:={x(t),y(t),z(t)}: sol:=dsolve(sys,vars,numeric); odeplot(sol,[x(t),y(t),z(t)],0. .5,labels=[x,y,z]);...
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
 Fall '11
 Dr.Gwartney
 Economics

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