Question: (a) i. Solve the differential equation = ry sin a. ii. Solve the initial value problem: * = (y 1), y(0) = 2. (20

(a) i. Solve the differential equation = ry sin a. ii. Solve

(a) i. Solve the differential equation = ry sin a. ii. Solve the initial value problem: * = (y 1), y(0) = 2. (20 Marks) (b) Give a precise definition of Fourier series of a 27-periodic function f(x) on the interval (-T, 7). Use your definition to find the Fourier series of f(x) = 1, { 0, - 7S*S O 0 < < T. (30 Marks)

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