Let y = y(x) satisfies the equation $\frac{\mathrm{dy}}{\mathrm{dx}}-|\mathrm{A}|=0$, for all x 0, where $\mathrm{A}=\left[\begin{matrix}\mathrm{y} & \mathrm{sinx} & 1 \ 0 & -1 & 1 \ 2 & 0 & \frac{1}{\mathrm{x}}\end{matrix}\right]$. If y(π) = π + 2, then the value of $\mathrm{y}\left(\frac{\pi }{2}\right)$ is: [JEE Main 2021, 20 Jul (Shift 2)]

Question

Let y = y(x) satisfies the equation $\frac{\mathrm{dy}}{\mathrm{dx}}-|\mathrm{A}|=0$, for all x > 0, where $\mathrm{A}=\left[\begin{matrix}\mathrm{y} & \mathrm{sinx} & 1 \ 0 & -1 & 1 \ 2 & 0 & \frac{1}{\mathrm{x}}\end{matrix}\right]$. If y(π) = π + 2, then the value of $\mathrm{y}\left(\frac{\pi }{2}\right)$ is: [JEE Main 2021, 20 Jul (Shift 2)]

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Let y = y(x) satisfies the equation \(\frac{\mathrm{dy}}{\mathrm{dx}}-|\mathrm{A}|=0\), for all x > 0, where \(\mathr…

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Let y = y(x) satisfies the equation \(\frac{\mathrm{dy}}{\mathrm{dx}}-|\mathrm{A}|=0\), for all x &gt; 0, where \(\mathr…

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Let y = y(x) satisfies the equation \(\frac{\mathrm{dy}}{\mathrm{dx}}-|\mathrm{A}|=0\), for all x > 0, where \(\mathr…