3(dy/dx)+2y/(x+1)=x^(3)/y^(2)

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

dy/dx+2y/x=y^3/x^3

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

x (dy)/(dx) - y = 2x ^(3)

The solution of the differential equation x=1+xy(dy)/(dx)+(x^(2)y^(2))/(2!)((dy)/(dx))^(2)+(x^(3)y^(3))/(3!)((dy)/(dx))^(3)+...is

(dy)/(dx)+(1)/(2x)y=(x)/(y^(3))

dy/dx - (2y)/(x+1) = (x+1)^3