What is the solution for (dy)/(dt)+24*10^{-3}y=384*10^{-3} ?

The solution for (dy)/(dt)+24*10^{-3}y=384*10^{-3} is y=-(e^{(-3t-c_{1})/(125)})/3+16

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(dy)/(dt)+2410^{-3}y=38410^{-3}

\frac{d y}{d t} + 24 \cdot 1 0^{- 3} y = 384 \cdot 1 0^{- 3}

y = - \frac{e ^{\frac{- 3 t - c _{1}}{125}}}{3} + 16

Solution steps

\frac{d y}{d t} + 24 \cdot 1 0^{- 3} y = 384 \cdot 1 0^{- 3}

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{125}}}{3} + 16

y = - \frac{e ^{\frac{- 3 t - c _{1}}{125}}}{3} + 16

What is the solution for (dy)/(dt)+24*10^{-3}y=384*10^{-3} ?
The solution for (dy)/(dt)+24*10^{-3}y=384*10^{-3} is y=-(e^{(-3t-c_{1})/(125)})/3+16