Given that y = c 1 + c 2 x 2 is a two-parameter family of solutions

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Given that y ­= c1 + c2x2 is a two-parameter family of solutions of xy'' – y' =­ 0 on the interval (‑∞, ∞), show that constants c1 and c2 cannot be found so that a member of the family satisfi­es the initial conditions y(0) ­= 0, y'(0) ­= 1. Explain why this does not violate Theorem 4.1.1.

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