Differential Equations Include any notes if necessary in helping to understand the question and also the

Question

Differential Equations – Include any notes if necessary in helping to understand the question, and also the

general equations if any. Thank you!

Consider the function
f (x) =
O; ;T/2,
T / 2, 1 / 2 SI ;T.
(a) Sketch the odd and even periodic extension of f(x) for -37 ; ; ; 37.
(b) Find the Fourier cosine series of the even periodic extension of f(a).
Math