What is the solution for (dx)/(dt)=14-(84/100)*x ?

The solution for (dx)/(dt)=14-(84/100)*x is x=-(e^{\frac{-21t-c_{1})/(25)}}{21}+50/3

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(dx)/(dt)=14-(84/100)*x

\frac{d x}{d t} = 14 - (\frac{84}{100}) \cdot x

x = - \frac{e ^{\frac{- 21 t - c _{1}}{25}}}{21} + \frac{50}{3}

Solution steps

\frac{d x}{d t} = 14 - (\frac{84}{100}) \cdot x

Solve separable ODE:

x = - \frac{e ^{\frac{- 21 t - c _{1}}{25}}}{21} + \frac{50}{3}

x = - \frac{e ^{\frac{- 21 t - c _{1}}{25}}}{21} + \frac{50}{3}

x + y x d x - d y = 0

\frac{d y}{d x} = \frac{y ^{\frac{1}{2}} ln ( x )}{x}

\frac{d y}{d t} = k (y - 2)

y^{^{'}} = \frac{( x y + 3 y )}{x - 3}

\frac{d}{d x} (ln (y)) = \frac{1}{3} ln (x^{2} - 9)

What is the solution for (dx)/(dt)=14-(84/100)*x ?
The solution for (dx)/(dt)=14-(84/100)*x is x=-(e^{\frac{-21t-c_{1})/(25)}}{21}+50/3