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Differential Equations question

2024 · 6 Apr · Shift 2 · Q53

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JEE Main
Mathematics
Differential Equations
2024 · 6 Apr · Shift 2 · Q53

Differential Equations question

2024 · 6 Apr · Shift 2 · Q53

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

If the solution

y(x)

of the given differential equation

\left(e^y+1\right) \cos x \mathrm{~d} x+\mathrm{e}^y \sin x \mathrm{~d} y=0

passes through the point

\left(\frac{\pi}{2}, 0\right)

, then the value of

e^{y\left(\frac{\pi}{6}\right)}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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