What is the solution for (dx)/(dt)=1-x/(25) ?

The solution for (dx)/(dt)=1-x/(25) is x=-e^{(-t-c_{1})/(25)}+25

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(dx)/(dt)=1-x/(25)

\frac{d x}{d t} = 1 - \frac{x}{25}

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

Solution steps

\frac{d x}{d t} = 1 - \frac{x}{25}

Solve separable ODE:

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

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

(1 + cos (x)) \frac{d y}{d x} = sin (x) (e - y + 1)

x \frac{d t}{d x} = \frac{a + a t ^{2}}{1 - a t}

sec (t) y^{^{'}} = - \frac{y ^{5}}{4}

y^{^{'}} = y (t + 1)

y^{^{'}} = \frac{x ^{2} + 2}{y}

What is the solution for (dx)/(dt)=1-x/(25) ?
The solution for (dx)/(dt)=1-x/(25) is x=-e^{(-t-c_{1})/(25)}+25