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

Show that each of the following differential equations is homogeneous and solve each of them : (dy)/(dx)=(x^(2)y)/(x^(3)+y^(3))

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

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

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

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

Solve: (dy)/(dx)+3y=e^(-2x)

Solve : x(dy)/(dx)+y=x^(3)y^(6)

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

Solve: (dy)/(dx)=x^3y^3-xy

Solve (dy)/(dx)=(x+2y+3)/(2x+3y+4)