The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). (1 − 2x − x2)y'' + 2(1 + x)y' − 2y = 0; y1 = x + 1
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and
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is strictly increasing along this interval.
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