find general solution of
xy(1+x^2)dy/dx-(1+y^2)=0
Solution:
this becomes
x(1+x^2) dy/dx=(1+y^2)/y
getting x's on one side and y's on the other
then the difficulties start, i tried to get the dy on the side of the y's to differenciate but when i do this i get 1/dy which seems weird
then tried
x(1+x^2) dy = (1/y+y) dx and differenciated left side(x's) with respect to y and the right side (y's) with respect to x which seems weird...
is this right?