Graphs of some members of a family of solutions for a first-order differential equation dy/dx = f (x, y) are shown in Figure 2.R.5. The graphs of two implicit solutions, one that passes through the point (1, -1) and one that passes through (-1, 3), are shown in blue. Reproduce the figure on a piece of paper. With colored pencils trace out the solution curves for the solutions y = y1(x) and y = y2(x) defined by the implicit solutions such that y1(1)=-1 and y2(-1) = 3, respectively. Estimate the intervals on which the solutions y = y1(x) and y = y2(x) are defined.
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