What is the solution for (dx)/(dt)=20-0.6*x ?

The solution for (dx)/(dt)=20-0.6*x is x=-(e^{-0.6t-c_{1}})/(0.6)+(20)/(0.6)

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(dx)/(dt)=20-0.6*x

\frac{d x}{d t} = 20 - 0.6 \cdot x

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

Solution steps

\frac{d x}{d t} = 20 - 0.6 \cdot x

Solve separable ODE:

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

x = - \frac{e ^{- 0.6 t - c_{1}}}{0.6} + \frac{20}{0.6}

\frac{d y}{d x} = y (4 x^{2} + 3)

\frac{d y}{d x} = e^{2 x - y}, y (0) = 0

d y = x (2 y d x - x d y), y (2) = 3

\frac{d y}{d x} = y (4 x^{2} + 5)

x^{^{'}} = (x)^{4 (1) + 2} (ln (t) + (0 + 2) t e^{t})

What is the solution for (dx)/(dt)=20-0.6*x ?
The solution for (dx)/(dt)=20-0.6*x is x=-(e^{-0.6t-c_{1}})/(0.6)+(20)/(0.6)