(a) Verify that the one-parameter family y2 2y x2 x c is
Chapter 1, Problem 1.1.167(choose chapter or problem)
(a) Verify that the one-parameter family y2 2y x2 x c is an implicit solution of the differential equation (2y 2)y 2x 1. (b) Find a member of the one-parameter family in part (a) that satisfies the initial condition y(0) 1. (c) Use your result in part (b) to find an explicit function y (x) that satisfies y(0) 1. Give the domain of the function . Is y (x) a solution of the initial-value problem? If so, give its interval I of definition; if not, explain 19
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