Given a generical differential equation what is the procedure to solve it using fft command. Can anyone explain me how to do it?
For example:
$$\frac{d^2y}{dt^2}+10\cdot \frac{d\:y}{dt}=-5\cdot t^2+t^4\cdot \cosh \left(t\right)$$
Should we use it as a discrete or as a continuous time transformation? I think fft is for discrete time but that way we have not got the rule of differentiation.
Thanks