(a) Verify that the given functions are linearly independent and form a basis of solutions of the...

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(a) Verify that the given functions are linearly independent and form a basis of solutions of the given ODE. 

(b) Solve the IVP. Graph or sketch the solution.

4x2y'' - 3y = 0

y(1) = -3

y' (1) = 0

x3/2

x-1/2

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