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MCQMediumJEE Main 2026 · 21 January, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2026 · 21 January, Shift 2

Let y=y(x)y = y(x) be the solution of the differential equation sec⁡xdydx−2y=2+3sin⁡x,x∈(−π2,π2)\sec x \frac{dy}{dx} - 2y = 2 + 3\sin x, x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right). If y(0)=−74y(0) = -\frac{7}{4}, then y(π6)y\left(\frac{\pi}{6}\right) is equal to :

  • A

    −52-\frac{5}{2}

  • B

    −54-\frac{5}{4}

  • C

    −32−7-3\sqrt{2} - 7

  • D

    −33−7-3\sqrt{3} - 7

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