Unformatted text preview: y < 1, trajectories ﬂow to the right. Comparing the phase plane diagram with those given on ±igure 5.12 on page 270 of the text, we conclude that the critical point (0 , 1) is a saddle (unstable) point. 15. Some integral curves and the direction Feld for the given system are shown in ±igure 5B. Comparing this picture with ±igure 5.12 on page 270 of the text, we conclude that the origin is an asymptotically stable spiral point. 338...
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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