What is the solution for (dS)/(dt)=0.9-(15S)/(1000) ?

The solution for (dS)/(dt)=0.9-(15S)/(1000) is S=-e^{(-3t-c_{1})/(200)}+60

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(dS)/(dt)=0.9-(15S)/(1000)

\frac{d S}{d t} = 0.9 - \frac{15 S}{1000}

S = - e^{\frac{- 3 t - c _{1}}{200}} + 60

Solution steps

\frac{d S}{d t} = 0.9 - \frac{15 S}{1000}

Solve separable ODE:

S = - e^{\frac{- 3 t - c _{1}}{200}} + 60

S = - e^{\frac{- 3 t - c _{1}}{200}} + 60

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What is the solution for (dS)/(dt)=0.9-(15S)/(1000) ?
The solution for (dS)/(dt)=0.9-(15S)/(1000) is S=-e^{(-3t-c_{1})/(200)}+60