## 35 Reputation

6 years, 349 days

## Plot a complex function in polar coordin...

Maple

Hi there,

I have the following complex-valued function,in polar coordinates:

Gamma is an arbitrary real constant.

How can a generate a 2D plot of w(z) using maple?

Thanks!

## Plot 3d phase portrait...

Maple

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!

## Plot x-t curve in 3D...

Hi there,

I am doing my assignment and struggling to do the last question: (only part (c))
code: Qmaple.mw
The left side shows the question. 3(d) is basically a phase portrait / vector field plot of a 2D system of differential equations on x-y plane. However,I am not sure how to extend it to 3 dimension. Moreover, for the second part, they ask me to plot x-t and y-t on the same graph,which is something similar to right hand side of the above picture (NOTE:THE plot doesn't represent the system in Question 4) . However,I've got the z term.How should I fix it?

## Animating a phase portrait with paramete...

Maple

Hi there,

I've been asked to do the following and now I'm struggling to do part (c) (Part (a) and (b) are irrelevant!)

code for part(c): Qmaple.mw

So I want to animate the system of differential equations when a=1,and b as the parameter varying from 0.5 to 3,also 0<=x<=5,0<=y<=5;while t could be any arbitrary range from 0 to,say,50.However, I am not sure where to include b in my code.

## evalf instead of solve in solving a syst...

Maple

Hi there,

I was asked to solve this problem:

and ending up with this:

Qmaple.mw

In Solut,if I replace evalf by solve I get a sensible solution.However,it is explicitly written in the question that I should use evalf to get an exact answer.How should I modify my code?

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