What is the solution for (dx)/(dt)=14-42/100 x ?

The solution for (dx)/(dt)=14-42/100 x is x=-(e^{\frac{-21t-c_{1})/(50)}}{21}+100/3

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(dx)/(dt)=14-42/100 x

\frac{d x}{d t} = 14 - \frac{42}{100} x

x = - \frac{e ^{\frac{- 21 t - c _{1}}{50}}}{21} + \frac{100}{3}

Solution steps

\frac{d x}{d t} = 14 - \frac{42}{100} x

Solve separable ODE:

x = - \frac{e ^{\frac{- 21 t - c _{1}}{50}}}{21} + \frac{100}{3}

x = - \frac{e ^{\frac{- 21 t - c _{1}}{50}}}{21} + \frac{100}{3}

What is the solution for (dx)/(dt)=14-42/100 x ?
The solution for (dx)/(dt)=14-42/100 x is x=-(e^{\frac{-21t-c_{1})/(50)}}{21}+100/3