solve differential equation sqrt 1+x2+y2+x2y2 + xy dy/dx=0
(1 + x2)(1 + y2) + xydy/dx = 0
(1/x + x)dx = -ydy/(1+y2)
integrating we get
ln x + x2/2 + C= - ln(1 + y2)
solve differential equation sqrt 1+x2+y2+x2y2 + xy dy/dx=0
(1 + x2)(1 + y2) + xydy/dx = 0
(1/x + x)dx = -ydy/(1+y2)
integrating we get
ln x + x2/2 + C= - ln(1 + y2)