MCQMediumJEE Main 2024 · 9 April, Shift 1Separation of Variables

Mathematics Question from JEE Main 2024 · 9 April, Shift 1

The solution curve of the differential equation 2ydydx+3=5dydx2y \frac{dy}{dx} + 3 = 5 \frac{dy}{dx}, passing through the point (0,1)(0, 1), is a conic whose vertex lies on the line:

  • A

    2x+3y=92x + 3y = 9

  • B

    2x+3y=92x + 3y = -9

  • C

    2x+3y=62x + 3y = -6

  • D

    2x+3y=62x + 3y = 6

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