Is it possible to use the densityplot function with imaginary values? I've tried with numerous functions, and all it ever seems to output is a solid black field.
Any help/suggestions/links to resources would be -greatly- appreciated!
I'm wondering if it is possible to produce a composite plot in Maple. What I would like to do is:
1. Take one solution of a non-autonomous differential equation, and plot it with respect to t, call this x(t).
2. Take another solution of a similar equation, also plot it with respect to t, call this y(t).
3. Take x(t) vs. t and y(t) vs. t planes and use it to create a 3-dimensional plot containing all the points where (t,x(t))=(t,y(t)).
It's difficult to describe, I hope the above is helpful.
On a (hopefully) simpler note, when I solve the following:
odesys := diff(x(t), t) = 2*x(t)-y(t)-x(t)^3, diff(y(t), t) = x(t)
I'm wondering how I'd go about attaching multiple coefficients from a list to a function, while storing the output as a list.
An example of a simple case (the only one which I've been able to get to work) is as follows:
for j from 1 by 1 to 3 to f_j := j*sin(x) end do
And then, when I want to manipulate the output, I have to handle each output element separately.
I also know how to attach a list of coefficients from a list, but handling an expression like
f_2*tan(23) = 2*tan(23)*x^2 is cumbersome and a bit silly, and not at all adequate for expressions with multiple terms.