The solution of the differential equation \[(\sin x+\cos x)dy+(\cos x-

1.	The solution of the differential equation \[(\sin x+\cos x)dy+(\cos x-\sin x)dx=0\]is
A.	\[{{e}^{x}}(\sin x+\cos x)+c=0\]
B.	\[{{e}^{y}}(\sin x+\cos x)=c\]
C.	\[{{e}^{y}}(\cos x-\sin x)=c\]
D.	\[{{e}^{x}}(\sin x-\cos x)=c\]
Answer» C. \[{{e}^{y}}(\cos x-\sin x)=c\]

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The solution of the differential equation \[(\sin x+\cos x)dy+(\cos x-\sin x)dx=0\]is

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