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Differential Equations question

2024 · 29 Jan · Shift 2 · Q42

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JEE Main
Mathematics
Differential Equations
2024 · 29 Jan · Shift 2 · Q42

Differential Equations question

2024 · 29 Jan · Shift 2 · Q42

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

\sin \left(\frac{y}{x}\right)=\log _e|x|+\frac{\alpha}{2}

is the solution of the differential equation

x \cos \left(\frac{y}{x}\right) \frac{d y}{d x}=y \cos \left(\frac{y}{x}\right)+x

and

y(1)=\frac{\pi}{3}

, then

\alpha^2

is equal to

A
12
B
9
C
4
D
3

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