Question

Solve using reduction of order or variation of parameters 4x2y” + 4xy’ + (4x2 – 1)y...

Solve using reduction of order or variation of parameters

4x2y” + 4xy’ + (4x2 – 1)y = F(x)

y1(x) = x -1/2 sin x     and     y2(x) = x -1/2 cos x

Your answer will come out in terms of integrals involving F(x).

Find a function F(x) for which you can easily calculate the necessary integrals in the answer and do the integral

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