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Unformatted text preview: G ( x, y ) = xe y ye y + e y = c or x = y 1 + ce y . EXERCISES 2.6: Substitutions and Transformations, page 78 1. We can write the equation in the form dy dx = ( y 4 x 1) 2 = [( y 4 x ) 1] 2 = G ( y 4 x ) , where G ( t ) = ( t 1) 2 . Thus, it is of the form dy/dx = G ( ax + by ). 3. In this equation, the variables are x and t . Its coecients, t + x + 2 and 3 t x 6, are linear functions of x and t . Therefore, given equation is an equation with linear coecients. 79...
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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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