Hi there;

I have a function;

Where T=35 (period)

First is asking me to develope de complex Fourier series. Because of the type of function, I know that I can directly substitude by the Euler formula,

Second part of the problem is asking me to find de transfer function H(s) which represents the relation between the input X(t) and the output Y(t) represented by the ODE:

knowing that I have that

the last part of the problem is asking me to find the complex Fourier series of Y(t).

and here is where I'm a bit lost, I'm not too sure if I have to follow this approach:

if I have to, I find my self having to operate complex exponentials and real ones, can I just operate them as normal?

Any suggestions?

Thank you