MCQMediumJEE Main 2024 · 4 April, Shift 1Separation of Variables

Mathematics Question from JEE Main 2024 · 4 April, Shift 1

If the solution y=y(x)y = y(x) of the differential equation (x4+2x3+3x2+2x+2)dy=(2x2+2x+3)dx(x^4 + 2x^3 + 3x^2 + 2x + 2) \, dy = (2x^2 + 2x + 3) \, dx satisfies y(1)=π/4y(-1) = -\pi/4, then y(0)y(0) is equal to:

  • A

    π/12-\pi/12

  • B

    00

  • C

    π/4\pi/4

  • D

    π/2\pi/2

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