(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.

y'' + 0.6y' + 0.09y = 0, y(0) = 2.2,y' (0) = 0.14, e-0.3x, xe-0.3x

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