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Question: Plot 3d phase portrait

Question:Plot 3d phase portrait

carriewong 35 Maple
homework 3d differential-equations fieldplot plotting
November 22 2017
1

Hi there,

I know for a given 2x2 system of differential equations, it is possible for maple to plot a phase portrait on x-y plane (or a graph with directions and arrows).And this is also possible in a 3x3 system by choosing 2 variables / the plane of projection by including the code scene=[x(t),y(t)] (on x-y plane) .

My question is:

given a system of 3x3 differential equations,like

dx/dt = f(x(t),y(t),z(t))

dy/dt = g(x(t),y(t),z(t))

dz/dt = h(x(t),y(t),z(t)),

how could I produce a 3D vector field of the system? (with arrows)

Thanks!
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