Question

The differential equation \(\frac{dy}{dx}=\frac{y}{x}\) represents:

• A. Straight lines through origin
• B. Parabola
• C. Circle
• D. Ellipse

Hint:

Solution of first-order DE gives family of curves.

Answer 1

The Correct Option is A

\[ \frac{dy}{y}=\frac{dx}{x}\Rightarrow y=Cx \]