Thanks for the reply.
What I meant was:
The assignment is to learn the basics of how to do fourier transforms in Maple with the view to analysing harder equations than the one above.
What I want to be able to do is fourier transform ANY equation (the harmonic oscillator in this case), so Maple outputs a fourirer seriers, and then be able to do fast fourier transforms in order to obtain just the amplitudes of the trig terms.
In other words, obtaining an and bn so I can then graph the square of the amplitudes, cn2=an2 + bn2, against their repective frequency, where f = (n omega)/(2pi), so I then have a fourier transform.
Like I said, I know how to do this mathematically, but I don't know the commands in Maple which can take an equation and output a fourier transform. None of the Maple help pages I could find have examples of how to do this.