Fourier Series : Assignment & Solution, Assignments of Differential Equations

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ASSIGNMENT 2

SSCE1793 DIFFERENTIAL EQUATIONS

QUESTION 1

QUESTION 2

ASSIGNMENT 2 QUESTION 1 Consider a periodic function f(x) given as f2)={ -", —r<2z<0, n-Z, O<2<7n, f(z) = f(z + 2n). i) Sketch the graph of f(x) in the interval —3x < x < 3x. Then, deter- mine whether f(x) is even, odd or neither. (3 marks) ii) Hence, find the Fourier series of f(x). (12 marks) QUESTION 2 A half range periodic function g(x) is defined by a= fh O