CUET · MATHS · PYQ PAPER 2023
The differential equation of the family of lines through the origin is:
- A \(x \frac{d y}{d x}-y=0\)
- B \(x \frac{d y}{d x}+y=0\)
- C \(y-x \frac{d x}{d y}=0\)
- D \(y+x \frac{d x}{d y}=0\)
Answer & Solution
Correct Answer
(A) \(x \frac{d y}{d x}-y=0\)
Step-by-step Solution
Detailed explanation
\(y = mx\) \(\frac{dy}{dx} = m\) \(y = x \left(\frac{dy}{dx}\right)\) \(x \frac{dy}{dx} - y = 0\)
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