If x d y d x -y x=6 x, (0<x< 2 ) and v ( 3 )=0 , then y ( 6 ) is equal to:

Mathematics · JEE Main · NTA ExamsDifferential Equations

If \(\cos x \frac{d y}{d x}-y \sin x=6 x,\left(0
  1. \(-\frac{\pi^{2}}{4 \sqrt{3}}\)
  2. \(-\frac{\pi^{2}}{2}\)
  3. \(\frac{\pi^{2}}{2 \sqrt{3}}\)
  4. \(-\frac{\pi^{2}}{2 \sqrt{3}}\)

Answer

(D) - ^ 2 2 3

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