Solution: In Exercises 7 and 8, make a change of variable
Chapter 5, Problem 8E(choose chapter or problem)
In Exercises 7 and 8, make a change of variable that decouples the equation . Write the equation and show the calculation that leads to the uncoupled system specifying P and D.A as in Exercise 6Reference:In Exercises 3–6, solve the initial value problem for . Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described by .Find the directions of greatest attraction and/or repulsion. When the origin is a saddle point, sketch typical trajectories.
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