Let the solution curve of the differential equation x dy - y dx =… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 1Homogeneous Differential Equations

Let the solution curve of the differential equation $x\,dy - y\,dx = \sqrt{x^2+y^2}\,dx,\quad x>0,$ with $y(1)=0$ , be $y=y(x)$ . Then $y(3)$ is equal to

A
$4$
B
$2$
C
$1$
D
$6$

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