Concept explainers
In Exercises 13—18.
(a) find the equilibrium points of the system.
(b) using HPGSystemSolver, sketch the direction field and phase portrait of the system, and
(c) briefly describe the behavior of typical solutions.
16.
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Differential Equations
- Find the equilibrium point. D(x) = (x-7), S(x) =x² O A. (7,$0) О В. (14,$49) C. $12.25 2 O D. (0,$49)arrow_forwardcharacterize the equilibrium point for the system x′= Ax and sketch the phase portrait.arrow_forwardMatch each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) -5 2 v 1. a' = 1 5 3 ? v 2. a' = 1 -7 12 3. z' = 9 -8 ? v 4. a' -9 C D.arrow_forward
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