What is the solution for (dx)/(dt)=14-0.56x,t(0)=130 ?

The solution for (dx)/(dt)=14-0.56x,t(0)=130 is x=-(e^{-0.56t-c_{1}})/(0.56)+(14)/(0.56)

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(dx)/(dt)=14-0.56x,t(0)=130

\frac{d x}{d t} = 14 - 0.56 x, t (0) = 130

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

Solution steps

\frac{d x}{d t} = 14 - 0.56 x

Solve separable ODE:

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

What is the solution for (dx)/(dt)=14-0.56x,t(0)=130 ?
The solution for (dx)/(dt)=14-0.56x,t(0)=130 is x=-(e^{-0.56t-c_{1}})/(0.56)+(14)/(0.56)