What is the solution for (dx)/(dt)=15-(13x)/(50) ?

The solution for (dx)/(dt)=15-(13x)/(50) is x=-(e^{\frac{-13t-c_{1})/(50)}}{13}+750/13

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(dx)/(dt)=15-(13x)/(50)

\frac{d x}{d t} = 15 - \frac{13 x}{50}

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

Solution steps

\frac{d x}{d t} = 15 - \frac{13 x}{50}

Solve separable ODE:

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

x = - \frac{e ^{\frac{- 13 t - c _{1}}{50}}}{13} + \frac{750}{13}

What is the solution for (dx)/(dt)=15-(13x)/(50) ?
The solution for (dx)/(dt)=15-(13x)/(50) is x=-(e^{\frac{-13t-c_{1})/(50)}}{13}+750/13