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Unformatted text preview: √ c if c > 0, and it is the empty set if c < 0. The condition v > 0 means that we have to take only the half of these circles lying in the upper half plane. Moreover, the Frst equation, y = v , implies that trajectories ﬂow from left to right. Similarly, in the lower half plane, v < 0, we have concentric semicircles v 2 + ( y − 1) 2 = c , c ≥ 0, centered at (1 , 0) and ﬂowing from right to left. 306...
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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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