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9. differential equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths9. differential equations1 Mark
MCQ
Let $y=y(x)$ satisfies the equation $\frac{d y}{d x}-|A|=0$, for all $x>0$, where $A=\left[\begin{array}{ccc}y & \sin x & 1 \\ 0 & -1 & 1 \\ 2 & 0 & \frac{1}{x}\end{array}\right] .$

If $y(\pi)=\pi+2$, then the value of $y\left(\frac{\pi}{2}\right)$ is:

  • A
    $\frac{\pi}{2}-\frac{4}{\pi}$
  • B
    $\frac{\pi}{2}-\frac{4}{\pi}$
  • C
    $\frac{\pi}{2}-\frac{1}{\pi}$
  • D
    $\frac{\pi}{2}+\frac{4}{\pi}$
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