Question: (a) Find a second-order homogeneous linear ODE for which the given functions are solutions. (b) Show linear independence by the Wronskian. (c) Solve the initial

(a) Find a second-order homogeneous linear ODE for which the given functions are solutions. 

(b) Show linear independence by the Wronskian. (c) Solve the initial value problem.

x2, x2 lnx, y(1) = 4, y' (1) = 6

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