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The differential equation ?′′ + 4? = 0 has two solutions given by ?1 = Cos2?...

The differential equation ?′′ + 4? = 0 has two solutions given by ?1 = Cos2? and ?2 = Sin2?.
(a): Check if the two solutions are linearly independent.
(b): Solve the IVP: ?′′ + 4? = 0; ?(0) = 2, ?′(0) = 5.

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