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The families of curves represented by the solution of the equation

$$\frac{dy}{dx}=\: – \left(\frac{x}{y} \right)^n$$

for $n=-1$ and $n= +1,$ respectively, are

  1. Parabolas and Circles
  2. Circles and Hyperbolas
  3. Hyperbolas and Circles
  4. Hyperbolas and Parabolas
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