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Kajal tried to solve the differential equation $\frac{d y}{d x}=-x^{2} y^{2}$. This is her work:$\newline$$$\frac{d y}{d x}=-x^{2} y^{2}$$$\newline$Step $1$: $\quad \int-y^{-2} d y=\int x^{2} d x$$\newline$Step $2$: $\quad y^{-1}=\frac{x^{3}}{3}+C$$\newline$Step $3$: $\quad y=\frac{3}{x^{3}}+C$$\newline$Is Kajal's work correct? If not, what is her mistake?$\newline$Choose $1$ answer:$\newline$(A) Kajal's work is correct.$\newline$(B) Step $1$ is incorrect. The separation of variables wasn't done correctly.$\newline$(C) Step $2$ is incorrect. Kajal didn't integrate $x^{2}$ correctly.$\newline$(D) Step $3$ is incorrect. Kajal didn't take the reciprocal of $\frac{x^{3}}{3}+C$ correctly.