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JEE Main PAPER - 1

JEE Main · 2018

180 questions · One at a time

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144
MCQ4 marks

Let y=y(x)y = y(x)   be the solution of the differential equation sinxdydx+ycosx=4x,x(0,π)\sin x \frac{dy}{dx} + y \cos x = 4x, x \in (0, \pi)  . If y(π/2)=0y(\pi/2) = 0  , then y(π/6)y(\pi/6)   is equal to:

  • A.89π2-\frac{8}{9}\pi^2
  • B.49π2-\frac{4}{9}\pi^2
  • C.493π2\frac{4}{9\sqrt{3}}\pi^2
  • D.893π2\frac{-8}{9\sqrt{3}}\pi^2Correct
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