Question: differential equation Question 2. (14 marks) Consider the following second-order linear ODE: 4t2y~m 4m + mm) + (2t + 311,0) = my. (2) (a) Show

differential equation

Question 2. (14 marks) Consider the following second-order linear ODE: 4t2y~m 4m + mm) + (2t + 311,0) = my. (2) (a) Show that y(t) = t% a complementary solution of (2). (2 marks) (b) Use the wronskian to nd a complementary solution that is not of the form y(t) = t5 (5 marks) (C) Use the solution of (a) and reduction of order to nd the general solution of (2) and thereby conrm the result of (b). (7 marks)

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