What is the solution for (dy)/(dt)= 40/2000-y/(200) ?

The solution for (dy)/(dt)= 40/2000-y/(200) is y=-e^{(-t-c_{1})/(200)}+4

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(dy)/(dt)= 40/2000-y/(200)

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}

y = - e^{\frac{- t - c _{1}}{200}} + 4

Solution steps

\frac{d y}{d t} = \frac{40}{2000} - \frac{y}{200}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{200}} + 4

y = - e^{\frac{- t - c _{1}}{200}} + 4

What is the solution for (dy)/(dt)= 40/2000-y/(200) ?
The solution for (dy)/(dt)= 40/2000-y/(200) is y=-e^{(-t-c_{1})/(200)}+4