The equation of the curve passing through the point (–1,–2) which satisfies \frac{dy}{dx}=-x^2-1/x^3 is [NDA II 2018]

Correct Answer is : 6x2y+17x2+2x5−3=0

6 x y - 2 x ^ { 2 } + 17 x ^ { 5 } + 3 = 0