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Differential Equations question

2024 · 9 Apr · Shift 1 · Q35

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JEE Main
Mathematics
Differential Equations
2024 · 9 Apr · Shift 1 · Q35

Differential Equations question

2024 · 9 Apr · Shift 1 · Q35

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The solution of the differential equation

(x^2+y^2) \mathrm{d} x-5 x y \mathrm{~d} y=0, y(1)=0

, is :

A
$\left|x^2-4 y^2\right|^5=x^2$
B
$\left|x^2-2 y^2\right|^6=x$
C
$\left|x^2-2 y^2\right|^5=x^2$
D
$\left|x^2-4 y^2\right|^6=x$

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