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Unformatted text preview: Therefore, above the line y = x the ow is clockwise and below that line the ow is counterclockwise. See Figure B.31 in the answers of the text. 15. From Denition 1 on page 266 of the text, we must solve the system of equations given by 2 x + y + 3 = 0 , 3 x 2 y 4 = 0 . By eliminating y in the rst equation we obtain x + 2 = 0 and by eliminating x in the rst equation we obtain y + 1 = 0 . Thus, we observe that x = 2 and y = 1 will satisfy both equations. Therefore ( 2 , 1) is a critical point. From Figure B.32 in the answers of the text we see that all solutions passing near the point ( 2 , 1) do not stay close to it therefore the critical point ( 2 , 1) is unstable. 298...
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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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