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

Solve the differential equations (i) (dy)/(dx)+(3xy+y^(2))/(x^(2)+xy)=0

Solve the differential equations (i) (dy)/(dx)+(3xy+y^(2))/(x^(2)+xy)=0

Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)) .

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

Solution of xy - (dy)/(dx) = y^(3)e^(-x^(2)) is

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

Solution of the differentiable equation x=1+xy((dy)/(dx))+((xy)^(2))/(2!)((dy)/(dx))^(2)+((xy)^(3))/(3!)((dy)/(dx))^(3)+