Generalized Weierstrass integrability for the complex differential equations dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x)

We characterize the differential equations of the form dydx=a(x)y4+b(x)y3+c(x)y2+d(x)y+e(x), where a,b,c,d,ea,b,c,d,e are meromorphic functions in the variable xx, that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.