(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.

4y'' + 25y = 0

y(0) = 3.0

y' (0) = -2.5

cos 2.5 x

sin 2.5x

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