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Jaxton tried to solve the differential equation $\frac{d y}{d x}=\left(\frac{\sec (x)}{y}\right)^{2}$. This is his work:$\newline$$$\frac{d y}{d x}=\left(\frac{\sec (x)}{y}\right)^{2}$$$\newline$Step $1$: $\quad \frac{d y}{d x}=\frac{\sec ^{2}(x)}{y^{2}}$$\newline$Step $2$: $\quad \int y^{2} d y=\int \sec ^{2}(x) d x$$\newline$Step $3$: $\quad \frac{y^{3}}{3}=\tan (x)+C_{1}$$\newline$Step $4$: $\quad y^{3}=3 \tan (x)+C$$\newline$Step $5$: $\quad y=\sqrt[3]{3 \tan (x)+C}$$\newline$Is Jaxton's work correct? If not, what is his mistake?$\newline$Choose $1$ answer:$\newline$(A) Jaxton's work is correct.$\newline$(B) Step $1$ is incorrect. The separation of variables was done incorrectly.$\newline$(C) Step $3$ is incorrect. Jaxton didn't integrate $\sec ^{2}(x)$ correctly.$\newline$(D) Step $5$ is incorrect. The right-hand side of the equation should be $\pm \sqrt[3]{\tan (x)+C}$.