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

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

general equations if any. Thank you!

Consider the functionf (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).