\frac { d y } { x } = \sqrt { x }
Solve for d
d=\frac{x^{\frac{3}{2}}}{y}
y\neq 0\text{ and }x>0
Solve for x
x=\left(dy\right)^{\frac{2}{3}}
\left(d<0\text{ and }y<0\right)\text{ or }\left(d>0\text{ and }y>0\right)
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dy=x\sqrt{x}
Multiply both sides of the equation by x.
yd=\sqrt{x}x
The equation is in standard form.
\frac{yd}{y}=\frac{x^{\frac{3}{2}}}{y}
Divide both sides by y.
d=\frac{x^{\frac{3}{2}}}{y}
Dividing by y undoes the multiplication by y.
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