Posted by Marissa on Tuesday, May 22, 2012 at 10:02am.
e^(xy) + x^2 - y^2 = 10
e^(xy) (xdy/dx + y) + 2x - 2y dy/dx = 0
xe^(xy) dy/dx + ye^(xy) + 2x - 2y dy/dx = 0
dy/dx (xe^(xy) - 2y) = -2x - ye^(xy)
dy/dx = (2x + ye^(xy) ) / (2y - xe^(xy) )