Explanation Given information: The figure gives the slope field for a differential equation. Concept used: An equilibrium solution is stable if nearby solutions are attracted to it. An equilibrium solution is unstable if nearby solutions are repelled away from it. Calculation: From the figure, we can observe that at x = 1 and x = 3 the slope field is a straight line, therefore, differential will be 0 at the points

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 9.5, Problem 20P

To determine

To estimate:

All equilibrium solutions and to indicate whether each is stable or unstable.

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Chapter 9.5, Problem 19P

Chapter 9.5, Problem 21P

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To estimate: All equilibrium solutions and to indicate whether each is stable or unstable.

Solution Summary: The author explains that the figure gives the slope field for a differential equation. The equilibrium solution is stable if nearby solutions are attracted to it.