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Solution of the differential equation \[\frac{dy}{dx}+\frac{y}{x}=\sin x\] is [Kerala (Engg.) 2005]

A.                 \[x(y+\cos x)=\sin x+c\]     
B.                 \[x(y-\cos x)=\sin x+c\]
C.                 \[x(y\cdot \cos x)=\sin x+c\]
D.                 \[x(y-\cos x)=\cos x+c\]
E.                 \[x(y+\cos x)=\cos x+c\]
Answer» B.                 \[x(y-\cos x)=\sin x+c\]


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