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

Correct Answer is : tan⁡(x+y2)=x+c

\tan ⁡ (\frac{x + y}{2}) = y + c

\sin ⁡ (\frac{x + y}{2}) = y + c

\cos ⁡ (\frac{x + y}{2}) = x + c

\tan ⁡ (\frac{x + y}{2}) = x + c

GATE Mechanical Engineering (ME) 2014 Shift 2 Solved Paper

Question : 37 of 65

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The general solution of the differential equation

\;{dy}/{dx} = \cos ⁡ (x + y)

, with c as a constant, is

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