
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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August 21st, 2013, 05:59 AM  #1 
Newbie Joined: Aug 2013 Posts: 2 Thanks: 0  Partial Differential Differential Equations
Suppose I have a partial differential equation Pp+Qq=R. NOw I wish to find a complete integral of this equation. If I use condition 1(given in some form of relations) and find out a family of surfaces given by F(x,y,z,a,b)=0. If using a different condition( say condition 2) I arrive at another family of surfaces, say G(x,y,z,c,d)=0. Is it possible that these two families of surfaces intersect along a curve. If yes, then suppose you are given the constraints of the common curve. Which surface would you obtain by using these constraints? F or G or a combination of both? An illustration would be extremely helpful. Thanks! 

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differential, equations, partial 
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