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Consider the differential equation x 2 y prime prime 5 x y prime 8 y 0 quad x 2 x 4 0 infty Verify that

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Consider the differential equation x 2 y prime prime 5 x y prime 8 y 0 quad x 2 x 4 0 infty Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval The functions satisfy the differential equation and are linearly independent since W x x 0 for 0 x Form the general solution y

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