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

Similar Questions

Explore conceptually related problems

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

The solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0, is given by

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

The solution of x^(2)dy-y^(2)dx+xy^(2)(x-y)dy=0, is

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

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

If (y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0, then the value of xysqrt(y^(2)-x^(2)), is

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