In 23 through 26, a system dx=dt D F .x; y/, dy=dt D G.x;

Chapter , Problem 23

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In 23 through 26, a system dx=dt D F .x; y/, dy=dt D G.x; y/ is given. Solve the equation dy dx D G.x; y/ F .x; y/ to find the trajectories of the given system. Use a computer system or graphing calculator to construct a phase portrait and direction field for the system, and thereby identify visually the apparent character and stability of the critical point .0; 0/ of the given system.

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