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The general solution of the differential equation $\dfrac{dy}{dx}=\cos(x+y)$, with $c$ as a constant, is

  1. $y+\sin \left (x+y \right )=x+c \\$
  2. $\tan \left (\dfrac{x+y}{2} \right)=y+c \\$
  3. $\cos \left (\dfrac{x+y}{2} \right )=x+c \\$
  4. $\tan \left (\dfrac{x+y}{2} \right )=x+c$
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