Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:
Solution of the differential equation \(xdy-ydx=0\) represents
Options:
A rectangular hyperbola
Parabola whose vertex is at origin
Straight line passing through origin
A circle whose centre is at origin
Correct Answer:
Straight line passing through origin
Explanation:
\(\begin{aligned}\text{Given, }\frac{dy}{y}&=\frac{dx}{x}\\ y&=cx\end{aligned}\)