Differential Equations

Differential Equations – Include notes if necessary to help in understanding, also any general equations if there are any. Consider the function defined by f(x) and f(x)=f(x+4), sketch the graph of f(x) on the interval [-6,6]. Find the Fourier series representation of f(x).Consider the function de?ned by 1—32, [)5 III <1,0, 1 g |:E| < 2 311d ft?) = fix + 4)- (a) Sketch the graph of ?at) on the interval [—6, 6]. (13) Find the Fourier series representation of f [cc]. You must show how to evaluate anyintegrals that are needed.