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MCQMediumJEE Main 2025 · 23 January, Shift 1Separation of Variables

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

Let a curve y=f(x)y = f(x) pass through the points (0,5)(0,5) and (log⁡2,k)(\log 2, k). If the curve satisfies the differential equation:

2(3+y)e2xdx−(7+e2x)dy=02(3+y)e^{2x}dx - (7+e^{2x})dy = 0

then kk is equal to:

  • A

    1616

  • B

    88

  • C

    3232

  • D

    44

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