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

Particular solution of the differential equation xy(dy)/(dx)=x^(2)+2y^(2),y(1)=0, is

Show that the differential equation 2xy(dy)/(dx)=x^(2)+3y^(2) is homogeneousand solve

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

Solution of the differential equation xy^(3)(dy)/(dx)=1-x^(2)+y^(2)-x^(2)y^(2) is

Solve xy(dy)/(dx)=x^2+2y^2

Solve xy(dy)/(dx)=x^2+2y^2

xy (dy)/(dx) =x^(2) +2y^(2)

y The differential equation of all circles passing through the origin and having their centres on the x-axis is (1)x^(2)=y^(2)+xy(dy)/(dx) (2) x^(2)=y^(2)+3xy(dy)/(dx)y^(2)=x^(2)+3xy(dy)/(dx)y^(2)=x^(2)-2xy(dy)/(dx)

(dy)/(dx) = (x^(2)+y^(2))/(xy)