What is the solution for (dx)/(dt)+7/50 x=20 ?

The solution for (dx)/(dt)+7/50 x=20 is x=-(e^{(-7t-c_{1})/(50)})/7+1000/7

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(dx)/(dt)+7/50 x=20

\frac{d x}{d t} + \frac{7}{50} x = 20

x = - \frac{e ^{\frac{- 7 t - c _{1}}{50}}}{7} + \frac{1000}{7}

Solution steps

\frac{d x}{d t} + \frac{7}{50} x = 20

Solve separable ODE:

x = - \frac{e ^{\frac{- 7 t - c _{1}}{50}}}{7} + \frac{1000}{7}

x = - \frac{e ^{\frac{- 7 t - c _{1}}{50}}}{7} + \frac{1000}{7}

What is the solution for (dx)/(dt)+7/50 x=20 ?
The solution for (dx)/(dt)+7/50 x=20 is x=-(e^{(-7t-c_{1})/(50)})/7+1000/7