1.`(xy+y^2)dx+(xy-x^2)dy=0`

Show that the differential equation (x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 is homogeneous and solve it.

(3xy+y^(2))dx+(x^(2)+xy)dy=0

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

Solve the following differential equation: (3xy+y^(2))dx+(x^(2)+xy)dy=0

Find the particular solution of the differential equation (3xy+y^(2))dx+(x^(2)=xy)dy=0;f or x=1,y=1

Equation of curve passing through (1,1) & satisfyng the differential equation (xy^(2)+y^(2)+x^(2)y+2xy)dx+(2xy+x^(2))dy=0 is

(xy - x^2)dy = y^2 dx

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

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