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MCQMediumJEE Main 2025 · 7 April, Shift 2Linear Differential Equations

Mathematics Question from JEE Main 2025 · 7 April, Shift 2

Let y=y(x)y = y(x) be the solution of the differential equation (x2+1)y′−2xy=(x4+2x2+1)cos⁡x,(x^2 + 1)y' - 2xy = (x^4 + 2x^2 + 1)\cos x, with the initial condition y(0)=1y(0) = 1. Then $$ \int_{-3}^{3} y(x) , dx

  • A

    2424

  • B

    3636

  • C

    3030

  • D

    1818

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