Unformatted text preview: N and solve for g '( y ): 3 3 2 2 x g y x y g y y + â€² = + â€² = ( ) ( ) We integrate to find g ( y ): g y g y y dy y C ( ) ( ) = â€² = = + âˆ« âˆ« 2 2 1 Substitute this into the first expression containing g ( y ) to obtain F ( x , y ): F x y x xy g y x xy y C ( , ) ( ) = + + = + + + 2 2 2 1 3 3 If an initial condition is given, the value of C 1 can be found, yielding a particular solution. In this case, an initial condition was not given. THE ANSWER The general solution is then written in this form, absorbing the value of C 1 into C . x xy y C 2 2 3 + + = Tom Penick [email protected] www.teicontrols.com/notes October 24, 1997...
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 Spring '08
 comech
 Derivative, order differential equation, Tom Penick, exact equation, [email protected]

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