Posted by Eve on Wednesday, March 11, 2009 at 1:32am.
Consider z as a function of y, and differentiate both sides with respect to y.
Is x supposed to be a constant on the right? Or did you mean to type "y" there? If x is another variable, z is not a fucntion of y alone, and you would have to deal with partial derivatives.
y dz/dy + z dy/dy = dz/dy /(x+z)
z = (dz/dy)(1/(x+z) - y)
z = (dz/dy) ( 1 -zx - xy)/(x+z)
dz/dy = (z^2 + xz)/(1 - xz - xy)
I assumed that partial is intended and x is constant for dz/dy
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