What is the solution for (dx)/(dt)=30-(3x)/(100) ?

The solution for (dx)/(dt)=30-(3x)/(100) is x=-(e^{(-3t-c_{1})/(100)})/3+1000

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(dx)/(dt)=30-(3x)/(100)

\frac{d x}{d t} = 30 - \frac{3 x}{100}

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 1000

Solution steps

\frac{d x}{d t} = 30 - \frac{3 x}{100}

Solve separable ODE:

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 1000

x = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 1000

x \to 2 lim (3 \cdot 6 + 6.6)

f (x) = 168 (2 x + 5)^{5}

3 y^{^{''}} + y^{^{'}} = 0

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

What is the solution for (dx)/(dt)=30-(3x)/(100) ?
The solution for (dx)/(dt)=30-(3x)/(100) is x=-(e^{(-3t-c_{1})/(100)})/3+1000