In each of Problems 38 through 42, a differential equation and one solution y 1 are given.

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In each of Problems 38 through 42, a differential equation and one solution y₁ are given. Use the method of reduction of order as in Problem 37 to find a second linearly independent solution y₂.

x²y" - x(x + 2)y' + (x + 2)y = 0 (x > 0) ; y₁(x) = x

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When we substitute y vx in the given differential equatio...View the full answer

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