JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)

JEE Main 2023 Mathematics question on Differential Equations

Let y=y(x)y = y(x) be the solution of the differential equation x3 dy+(xy−1) dx=0x^3\, dy + (xy - 1)\, dx = 0, x>0x > 0, y(12)=3−ey\left(\dfrac{1}{2}\right) = 3 - e. Then y(1)y(1) is equal to
  1. A.
    ee
  2. B.
    11
  3. C.
    2−e2 - e
  4. D.
    33
Show answer

Correct option: B

[JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)]

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