Solved: In 23 through 26, a system dx=dtDF.x;y/, dy=dt D G.x;y/ is given. Solve the

Chapter 6, Problem 26

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In 23 through 26, a system dx=dtDF.x;y/, dy=dt D G.x;y/ is given. Solve the equation dy dx D G.x;y/ F.x;y/ to nd the trajectories of the given system. Use a computer system or graphing calculator to construct a phase portrait and direction eld for the system, and thereby identify visually the apparent character and stability of the critical point .0;0/ of the given system.dx dt D y3exCy, dy dt D! x3exCy

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