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Unformatted text preview: y = G ( ax + by ) on page 74 of the text. By letting z = 2 x y we can transform the equation into a separable one. To solve, we dierentiate z = 2 x y with respect to x to obtain dz dx = 2 dy dx dy dx = 2 dz dx . Substituting z = 2 x y and y = 2 z into the dierential equation yields 2 dz dx = 2 z + 3 or dz dx = z + 3 . To solve this equation we divide by z + 3, multiply by dx , and integrate to obtain Z ( z + 3) 1 / 2 dz = Z dx 2( z + 3) 1 / 2 = x + C . 93...
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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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