GATE XE (Engineering Sciences) 2024 - Question 12

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Section: Engineering Mathematics | Marks: 1

Let 𝑦 be a non-zero quadratic polynomial satisfying the differential equation (2 + π‘₯2) 𝑑2𝑦 𝑑π‘₯2 + π‘₯𝑑𝑦 𝑑π‘₯βˆ’π‘˜π‘¦= 0, where π‘˜ is a real constant. If 𝑦(1) = 1, then the value of the integral ∫2𝑦⁑𝑑π‘₯ 1 0 ⁑ is

  • A. 1 3
  • B. 2 3
  • C. 1
  • D. 4 3

Answer: D. 4 3

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