Given that y c1 c2x2 is a two-parameter family of

Chapter 4, Problem 4.1.5

(choose chapter or problem)

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. 6. F

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