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Differential Equations question

2023 · 30 Jan · Shift 2 · Q34

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JEE Main
Mathematics
Differential Equations
2023 · 30 Jan · Shift 2 · Q34

Differential Equations question

2023 · 30 Jan · Shift 2 · Q34

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The solution of the differential equation

\frac{d y}{d x}=-\left(\frac{x^2+3 y^2}{3 x^2+y^2}\right), y(1)=0

is :

A
$\log _e|x+y|+\frac{x y}{(x+y)^2}=0$
B
$\log _e|x+y|-\frac{x y}{(x+y)^2}=0$
C
$\log _e|x+y|+\frac{2 x y}{(x+y)^2}=0$
D
$\log _e|x+y|-\frac{2 x y}{(x+y)^2}=0$

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