Solve that any equation of the fomr `yf'(xy)dx+xf'(xy)dy=0`

Show that any equation of the form yf(xy)dx+xg(xy)dy=0 can be converted to variable separable form by substitution xy=v .

Solve the differential equation (3xy+y^(2))dx=(x^(2)+xy)dy.

Solve the differential equations : (y^(2)-2xy)dx=(x^(2)-2xy)dy

Solve the differential equation xy(dy)/(dx)=x^(2)-y^(2).

Solve the differential equation : (1 - x^(2)) (dy)/(dx) - xy = x

Solve the differential equation (dy)/(dx)=1-x+y-xy

Solve the differential equation, (3xy + y^2) dx = (x^2 + xy)dy

Solve :- (x^2+y^2)dx-2xy dy=0