Question: 4. [4 marks] Consider the initial value problem 11 my' + 5y = 0, 31(0) = 1, y'(0) = 1, and suppose that y =

$4. [4 marks] Consider the initial value problem 11\" my' +$

4. [4 marks] Consider the initial value problem 11\" my' + 5y = 0, 31(0) = 1, y'(0) = 1, and suppose that y = Z aux\" is a power series solution to this IVP. n=0 (3) Show that for 'n, 2 2, the coefficients an satisfy the recurrence relation a _ \"4\" "+2 (n + 2)(n+ 1) n' (b) Calculate the value of the coefficients a0. a1. a2. a3. a4 and a5

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