Get solution: 1620 A system of differential equations is given. (a) Use a phase plane
Chapter 7, Problem 20(choose chapter or problem)
1620 A system of differential equations is given. (a) Use a phase plane analysis to determine the values of the constant a for which the sole equilibrium of the differential equations is locally stable (b) Obtain an expression for each equilibrium (it may be a function of the constant a). 16. x9 asx 2 3d, y9 5 2 y, a 0 17. x9 y 2 ax, y9 x 2 y, a . 0, a 1 18. x9 asx 2 ad, y9 4 2 y 2 x, a 0 19. x9 ay 2 2 x 1 1, y9 2s1 2 yd 20. x9 2s y 2 1d 2 asx 2 1d, y9 2s y 2 1d 2 1 a sx 2 1d, a 21, 0, 1, x, y . 4
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