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Differential Equations question

2024 · 8 Apr · Shift 2 · Q31

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JEE Main
Mathematics
Differential Equations
2024 · 8 Apr · Shift 2 · Q31

Differential Equations question

2024 · 8 Apr · Shift 2 · Q31

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution curve of the differential equation

\sec y \frac{\mathrm{d} y}{\mathrm{~d} x}+2 x \sin y=x^3 \cos y, y(1)=0

. Then

y(\sqrt{3})

is equal to:

A
$\frac{\pi}{6}$
B
$\frac{\pi}{12}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$

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