| The differential equation \(y dx+x dy=0\) represents a family of |
circles ellipses Cycloids rectangular hyperbolas |
| rectangular hyperbolas |
| \(\begin{aligned}\text{Given, }ydx&=-x dy\\ -\int \frac{dx}{x}&=\int \frac{dy}{y}\\ -\log x&=\log y+\log c\\ xy&=c\end{aligned}\) |