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Differential Equations question

2023 · 24 Jan · Shift 1 · Q29

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JEE Main
Mathematics
Differential Equations
2023 · 24 Jan · Shift 1 · Q29

Differential Equations question

2023 · 24 Jan · Shift 1 · Q29

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y = y(x)

be the solution of the differential equation

{x^3}dy + (xy - 1)dx = 0,x \gt 0,y\left( {{1 \over 2}} \right) = 3 - \mathrm{e}

. Then y (1) is equal to

A
2 $-$ e
B
3
C
1
D
e

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