(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'' + 2y' + 2y = 0

y(0) = 0

y' (0) = 15

e-x cos x

e-x sin x

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