Solve: `(dy)/(dx)+y=cos x=sinx`

1.	Solve: `(dy)/(dx)+y=cos x=sinx`
Answer» Correct Answer - ` y = cos x + Ce^(-x)` `IF = e ^(int dx ) = e ^(x)` ` y xx e ^(x) = int e ^(x) (cos x - sin x ) dx +C ` `= int (underset ("I")((cos x ) underset ( "II") (e ^(x)) dx - int (sinx ) e ^(x) dx + C ` ` = (cos x ) e ^(x) - int ( - sinx ) e ^(x) dx - int (sinx ) e ^(x) dx + C ` ` = (cos x )e ^(x) +C `.

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