(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.

x2y'' - xy' + y = 0, y(1) = 4.3, y' (1) = 0.5, x, x ln x

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