If y = y ( x ) and 2+ x y+1 ( d y d x )=- x, y(0)=1 , then y ( 2 ) equals

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

If y = y (x) and \(\frac{2+\sin x}{y+1}\left(\frac{d y}{d x}\right)=-\cos x, y(0)=1\),
then \(y\left(\frac{\pi}{2}\right)\) equals
  1. 1/3
  2. 2/3
  3. –1/3
  4. 1

Answer

(C) –1/3

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