MaplePrimes - answers and comments on Question, Using Mathieu Functions

Partial answer

Thomas Richard — Tue, 06 Mar 2012 18:57:21 Z

Don't have much time to polish that, but the essential steps are

de1:=diff(x(t),t$2)+(a+2*q*cos(omega*t))*x(t)=0;
de2:=diff(y(t),t$2)-(a+2*q*cos(omega*t))*y(t)=0;
de3:=diff(z(t),t$2)=0;
sys:=[de1,de2,de3]:
sol:=dsolve(sys);
odetest(sol,sys); # optional check

The system is uncoupled, so you could also apply individual dsolve calls.

As you can see, Maple solves the first two in terms of MathieuC and MathieuS functions. Place the cursor on that, and hit F2 to see the docs.

The solution maple gives is: QUESTION: Given

strokebow — Tue, 05 Mar 2013 03:37:12 Z

The solution maple gives is:

QUESTION:

Given a particular value for a,q, and omega.

How would I plot x(t) against time in Maple?

* This may be really easy to do (or not) but I am still getting used to maple and would appreciate any help anyone can offer.

Thanks!