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Differential Equations question

2022 · 28 Jun · Shift 1 · Q32

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JEE Main
Mathematics
Differential Equations
2022 · 28 Jun · Shift 1 · Q32

Differential Equations question

2022 · 28 Jun · Shift 1 · Q32

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let y = y(x) be the solution of the differential equation

x(1 - {x^2}){{dy} \over {dx}} + (3{x^2}y - y - 4{x^3}) = 0

,

x \gt 1

, with

y(2) = - 2

. Then y(3) is equal to :

A
$-$ 18
B
$-$ 12
C
$-$ 6
D
$-$ 3

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