Question: Given that y = c_1 + c_2 x^2 is a two-parameter family of solutions of xy - y' = 0 on the interval (-infinity, infinity),

Given that y = c_1 + c_2 x^2 is a two-parameter family of solutions of xy" - y' = 0 on the interval (-infinity, infinity), show that constants c_1 and c_2 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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