Welcome to Bytelearn!

Let’s check out your problem:

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