M427K-F10-HW2

# M427K-F10-HW2 - sin( y ) y-2 e-x sin( x ) + cos( y ) + 2...

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M427K , 55330, Sep 6, 2010 Homework 2 , due Sep 13 2.6.7 Determine whether the equation is exact. If it is exact, Fnd the solution. e x sin( y ) - 2 y sin( x ) + b e x cos( y ) + 2 cos( x ) B dy dx = 0 . 2.6.13 Solve the given initial value problem and determine at least approximately where the solution is valid. 2 x - y + (2 y - x ) dy dx = 0 , y (1) = 3 . 2.6.20 Show that the given equation is not exact but becomes exact when multiplied by the given integrating factor. Then solve the equation.
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Unformatted text preview: sin( y ) y-2 e-x sin( x ) + cos( y ) + 2 e-x cos( x ) y dy dx = 0 , ( x, y ) = ye x . 2.6.25 ind an integrating factor and solve the given equation. 3 x 2 y + 2 xy + y 3 + ( x 2 + y 2 ) dy dx = 0 . 2.6.28 ind an integrating factor and solve the given equation. y + ( 2 xy-e-2 y ) dy dx = 0 ....
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## This note was uploaded on 10/08/2010 for the course M 427K taught by Professor Fonken during the Fall '08 term at University of Texas at Austin.

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