The solution of differential equation dy dx = sec (x + y) is

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of differential equation \(\frac{\mathrm{dy}}{\mathrm{dx}}\) = sec (x + y) is
  1. \(y-\tan \frac{x+y}{2}=c\)
  2. \(y+\tan \frac{x+y}{2}=c\)
  3. \(y+2 \tan \frac{x+y}{2}=c\)
  4. none of these

Answer

(A) y- x+y 2 =c

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