Solve \frac{dy}{dx}=\cos(x+y)+\sin(x+y) My Attempt \frac{dy}{dx}=\sqrt{2}\cos(x+y-\frac{\pi}{4}) Set t=x+y-\frac{\pi}{4}\implies y=t-x+\frac{\pi}{4} \frac{dy}{dx}=\frac{dt}{dx}-1=\sqrt{2}\cos t \frac{dt}{dx}=\sqrt{2}\cos(t)+1 \int\frac{dt}{\sqrt{2}\cos(t)+1}=\int dx How do I proceed

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