Problems: Calculate Fourier Transforms of:
>
> f(t)=1 for (1<=|t|<=2) and 0 otherwise
>
> f(t)=cos wt[H(t+1/2T)-H(t-1/2t]
>
> f(t)=exp(at) (t<=0), (a>a) and exp(-at) (t>0)
>
> f(t)=exp(-at) sin wt H(t)
>
> note: w is omega and T is Tau, H is Heaviside
 

Not sure how to do these problems with maple.

How do I get the ODE Analyzer Assistant to solve problems like the ones below:

ydx-xdy=Y^3dx + Y^2xdy  x=2 when y=4 I keep getting errors like cannot determine dependant variable or I get y=y in parameters

another example

(1+x^2)dy + xy dx =x dx  no initial values just solve it.