(a) Verify that 3x2 y2 c is a one-parameter family of
Chapter 1, Problem 1.1.93(choose chapter or problem)
(a) Verify that 3x2 y2 c is a one-parameter family of solutions of the differential equation y dydx 3x. (b) By hand, sketch the graph of the implicit solution 3x2 y2 3. Find all explicit solutions y (x) of the DE in part (a) defined by this relation. Give the interval I of definition of each explicit solution (c) The point (2, 3) is on the graph of 3x2 y2 3, but which of the explicit solutions in part (b) satisfies y(2) 3? 3
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