MCQMediumJEE Main 2024 · 27 January, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2024 · 27 January, Shift 1

If the solution for Differential equation (2x+3y2)dx+(4x+6y7)dy=0(2x + 3y - 2)dx + (4x + 6y - 7)dy = 0, y(0)=3y(0) = 3, has solution αx+βy+3log2x+3yγ=6\alpha x + \beta y + 3\log|2x + 3y - \gamma| = 6. Find α+2β+3γ\alpha+2\beta+3\gamma.

  • A

    2929

  • B

    3030

  • C

    2828

  • D

    2727

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