Question: Finding equilibria of nonlinear coupled differential equations requires solving nonlinear simultaneous equations that can have any number of solutions. For each of the following pairs,

Finding equilibria of nonlinear coupled differential equations requires solving nonlinear simultaneous equations that can have any number of solutions. For each of the following pairs, solve each equation for y in terms of x, set the two equations for x equal, and solve for x. Check that both equations give the same value for y. Sketch a graph with y on the vertical axis.
(x - 1)(y2 - x2) = 0
-2 + 2y - 6x = 0
Solving the first equation for y in terms of x does not give a function and includes a vertical section. Graph the relation and find the solutions.

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Solving the first equation for y gives y x y x and x 1 The second gives y 3x 1 This gives three pa... View full answer

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