What is the solution for (dQ)/(dt)=1-Q/(50) ?

The solution for (dQ)/(dt)=1-Q/(50) is Q=-e^{(-t-c_{1})/(50)}+50

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(dQ)/(dt)=1-Q/(50)

\frac{d Q}{d t} = 1 - \frac{Q}{50}

Q = - e^{\frac{- t - c _{1}}{50}} + 50

Solution steps

\frac{d Q}{d t} = 1 - \frac{Q}{50}

Solve separable ODE:

Q = - e^{\frac{- t - c _{1}}{50}} + 50

Q = - e^{\frac{- t - c _{1}}{50}} + 50

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What is the solution for (dQ)/(dt)=1-Q/(50) ?
The solution for (dQ)/(dt)=1-Q/(50) is Q=-e^{(-t-c_{1})/(50)}+50