Solve for y
y=\frac{1}{x^{2}}
x\neq 0
Solve for x
x=\frac{1}{\sqrt{y}}
x=-\frac{1}{\sqrt{y}}\text{, }y>0
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x^{2}y=\frac{\mathrm{d}}{\mathrm{d}x}(x)
Swap sides so that all variable terms are on the left hand side.
x^{2}y=1
The equation is in standard form.
\frac{x^{2}y}{x^{2}}=\frac{1}{x^{2}}
Divide both sides by x^{2}.
y=\frac{1}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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