Show that y1(x) = x and y2(x) = x 2 are linearly

Chapter 2, Problem 2.13

(choose chapter or problem)

Show that y1(x) = x and y2(x) = x 2 are linearly independent solutions of x 2 y 2x y+ 2y = 0 on (1, 1) but that W(0) = 0. Why does this not contradict Theorem 2.3 conclusion (1)? 1

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