What is the solution for (dy)/(dt)+y=cos(t) ?

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

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(dy)/(dt)+y=cos(t)

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

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

Solution steps

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

Solve linear ODE:

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

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

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