Suppose that y (x) = x² denotes a nontrivial solution of a homogeneous linear second-order differential equation xy" +2ry – 6y = 0, and y, is defined on an interval I. From a reduction of order method, we know that the second solution is e-S P(x)dx -dx. y2 = y1 (x) / [yi (x)]² Use the given formula to find y2.

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