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Verify that the given function is a solution and use Reduction of Order to find a...

Verify that the given function is a solution and use Reduction of Order to find a second linearly independent solution.

a. x2y′′ −2xy′ −4y = 0, y1(x) = x4.

b. xy′′ − y′ + 4x3y = 0, y1(x) = sin(x2).

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