Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

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