What is the solution for (dx)/(dt)=18-18/100 x ?

The solution for (dx)/(dt)=18-18/100 x is x=-(e^{(-9t-c_{1})/(50)})/9+100

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(dx)/(dt)=18-18/100 x

\frac{d x}{d t} = 18 - \frac{18}{100} x

x = - \frac{e ^{\frac{- 9 t - c _{1}}{50}}}{9} + 100

Solution steps

\frac{d x}{d t} = 18 - \frac{18}{100} x

Solve separable ODE:

x = - \frac{e ^{\frac{- 9 t - c _{1}}{50}}}{9} + 100

x = - \frac{e ^{\frac{- 9 t - c _{1}}{50}}}{9} + 100

y^{^{'}} = - \frac{x - 2}{y - 6}, y (3) = 0

3.03 y^{^{'}} + 0.755 y = 6.05

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

\frac{d x}{3 sin ( y )} = \frac{4 d y}{5 sin ( x )}

x e^{- y} d y + \frac{x ^{2} + 1}{y} d x = 0

What is the solution for (dx)/(dt)=18-18/100 x ?
The solution for (dx)/(dt)=18-18/100 x is x=-(e^{(-9t-c_{1})/(50)})/9+100