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Differential Equations question

2021 · 20 Jul · Shift 2 · Q33

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JEE Main
Mathematics
Differential Equations
2021 · 20 Jul · Shift 2 · Q33

Differential Equations question

2021 · 20 Jul · Shift 2 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let y = y(x) satisfies the equation

{{dy} \over {dx}} - |A| = 0

, for all x > 0, where

A = \left[ {\begin{matrix} y & {\sin x} & 1 \\ 0 & { - 1} & 1 \\ 2 & 0 & {{1 \over x}} \\ \end{matrix} } \right]

. If

y(\pi ) = \pi + 2

, then the value of

y\left( {{\pi \over 2}} \right)

is :

A
${\pi \over 2} + {4 \over \pi }$
B
${\pi \over 2} - {1 \over \pi }$
C
${{3\pi } \over 2} - {1 \over \pi }$
D
${\pi \over 2} - {4 \over \pi }$

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