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# 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).