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

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

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

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

y = \frac{sin ( x )}{2} + \frac{cos ( x )}{2} + \frac{c _{1}}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = \frac{sin ( x )}{2} + \frac{cos ( x )}{2} + \frac{c _{1}}{e ^{x}}

y = \frac{sin ( x )}{2} + \frac{cos ( x )}{2} + \frac{c _{1}}{e ^{x}}

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