Solve for y
\left\{\begin{matrix}y=x+\frac{С}{x^{2}}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }С=0\end{matrix}\right.
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x^{2}y=x^{3}+С
The equation is in standard form.
\frac{x^{2}y}{x^{2}}=\frac{x^{3}+С}{x^{2}}
Divide both sides by x^{2}.
y=\frac{x^{3}+С}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
y=x+\frac{С}{x^{2}}
Divide x^{3}+С by x^{2}.
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