What is the solution for derivative of (dy/(dx))+y=cos(x) ?

The solution for derivative of (dy/(dx))+y=cos(x) is y=c_{1}cos(x)+c_{2}sin(x)+(xsin(x))/2

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derivative of (dy/(dx))+y=cos(x)

\frac{d}{d x} (\frac{d y}{d x}) + y = cos (x)

y = c_{1} cos (x) + c_{2} sin (x) + \frac{x sin ( x )}{2}

Solution steps

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What is the solution for derivative of (dy/(dx))+y=cos(x) ?
The solution for derivative of (dy/(dx))+y=cos(x) is y=c_{1}cos(x)+c_{2}sin(x)+(xsin(x))/2