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Differential Equations question

2021 · 26 Feb · Shift 1 · Q42

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JEE Main
Mathematics
Differential Equations
2021 · 26 Feb · Shift 1 · Q42

Differential Equations question

2021 · 26 Feb · Shift 1 · Q42

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

If y = y(x) is the solution of the equation

{e^{\sin y}}\cos y{{dy} \over {dx}} + {e^{\sin y}}\cos x = \cos x

, y(0) = 0; then

1 + y\left( {{\pi \over 6}} \right) + {{\sqrt 3 } \over 2}y\left( {{\pi \over 3}} \right) + {1 \over {\sqrt 2 }}y\left( {{\pi \over 4}} \right)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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