What is the solution for (dy)/(dt)=0.225-0.0045y ?

The solution for (dy)/(dt)=0.225-0.0045y is y=-(e^{-0.0045t-c_{1}})/(0.0045)+(0.225)/(0.0045)

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(dy)/(dt)=0.225-0.0045y

\frac{d y}{d t} = 0.225 - 0.0045 y

y = - \frac{e ^{- 0.0045 t - c_{1}}}{0.0045} + \frac{0.225}{0.0045}

Solution steps

\frac{d y}{d t} = 0.225 - 0.0045 y

Solve separable ODE:

y = - \frac{e ^{- 0.0045 t - c_{1}}}{0.0045} + \frac{0.225}{0.0045}

y = - \frac{e ^{- 0.0045 t - c_{1}}}{0.0045} + \frac{0.225}{0.0045}

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What is the solution for (dy)/(dt)=0.225-0.0045y ?
The solution for (dy)/(dt)=0.225-0.0045y is y=-(e^{-0.0045t-c_{1}})/(0.0045)+(0.225)/(0.0045)