Unformatted text preview: y > 0, we have x = 2 y > 0 and, therefore, x ( t ) increases. In the lower halfplane, x < 0 and so x ( t ) decreases. This implies that solutions ﬂow from the left to the right in the upper halfplane and from the right to the left in the lower halfplane. See Figure B.30 in the text. 13. First, we will ±nd the critical points of this system. Therefore, we solve the system ( y − x )( y − 1) = 0 , ( x − y )( x − 1) = 0 . 296...
View
Full Document
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Leftwing politics, phase plane equation

Click to edit the document details