Answer: (a) Show that a one-parameter family of solutions of the equation (4xy 3x2 ) dx
Chapter 2, Problem 39(choose chapter or problem)
(a) Show that a one-parameter family of solutions of the equation (4xy 3x2 ) dx (2y 2x2 ) dy 0 is x3 2x2y y2 c. cos (b) Show that the initial conditions y(0) 2 and y(1) 1 determine the same implicit solution. (c) Find explicit solutions y1(x) and y2(x) of the differential equation in part (a) such that y1(0) 2 and y2(1) 1. Use a graphing utility to graph y1(x) and y2(x).
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