What is the solution for (dx)/(dt)=0.09-x/(2580) ?

The solution for (dx)/(dt)=0.09-x/(2580) is x=-e^{(-t-c_{1})/(2580)}+232.2

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(dx)/(dt)=0.09-x/(2580)

\frac{d x}{d t} = 0.09 - \frac{x}{2580}

x = - e^{\frac{- t - c _{1}}{2580}} + 232.2

Solution steps

\frac{d x}{d t} = 0.09 - \frac{x}{2580}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{2580}} + 232.2

x = - e^{\frac{- t - c _{1}}{2580}} + 232.2

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

y^{^{'}} + 9 y^{3} = 0, y (0) = y^{0}

\frac{d y}{d x} = \frac{( 3 x ^{2} - e ^{x} )}{( 2 y - 5 )}

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

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

What is the solution for (dx)/(dt)=0.09-x/(2580) ?
The solution for (dx)/(dt)=0.09-x/(2580) is x=-e^{(-t-c_{1})/(2580)}+232.2