Question:medium

The differential equation of the family of lines passing through the origin is

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Lines through origin have slope $m = y/x$, giving $x dy = y dx$.

Updated On: Apr 8, 2026

$x\frac{dy}{dx} + y = 0$
$x\frac{dy}{dx} = 0$
$x\frac{dy}{dx} - y = 0$
$\frac{dy}{dx} = x$

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The Correct Option is C

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Questions Asked in MET exam

If $f(x) = \begin{cases} x, & 0 \le x \le 1 \\ 2x - 1, & 1<x \end{cases}$, then

MET - 2019
Continuity

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