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Unformatted text preview: as p ( x ) q ( y ). We also see that the equation is linear with y as the dependent variable. 3. Here M ( x, y ) = ye xy + 2 x , N ( x, y ) = xe xy 2 y . Thus M y = y ( ye xy + 2 x ) = e xy + y y ( e xy ) = e xy + ye xy x = e xy (1 + yx ) , N x = x ( xe xy 2 y ) = e xy + x x ( e xy ) = e xy + xe xy y = e xy (1 + xy ) , M/y = N/x , and the equation is exact. We write the equation in the form dy dx = ye xy + 2 x xe xy 2 y 59...
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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 University of California, Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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