Show that y1 D x2 and y2 D x3 are two different solutions

Chapter , Problem 29

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Show that y1 D x2 and y2 D x3 are two different solutions of x2y00 4xy0 C 6y D 0, both satisfying the initial conditions y.0/ D 0 D y0 .0/. Explain why these facts do not contradict Theorem 2 (with respect to the guaranteed uniqueness).

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