Question: Second-order ODE y'' + 3/( 2t) y' 3 /(t^2) y = 0, t > 0 (a) Verify that y1(t) = t^2 is a solution of

Second-order ODE y'' + 3/( 2t) y' 3 /(t^2) y = 0, t > 0

(a) Verify that y1(t) = t^2 is a solution of the ODE, and find a second solution y2(t) using the method of reduction of order.

(b) Compute the Wronskian of y1(t) and y2(t) to show that the solutions are independent.

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