What is the solution for (dx)/(dt)=75-x/(100) ?

The solution for (dx)/(dt)=75-x/(100) is x=-e^{(-t-c_{1})/(100)}+7500

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(dx)/(dt)=75-x/(100)

\frac{d x}{d t} = 75 - \frac{x}{100}

x = - e^{\frac{- t - c _{1}}{100}} + 7500

Solution steps

\frac{d x}{d t} = 75 - \frac{x}{100}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{100}} + 7500

x = - e^{\frac{- t - c _{1}}{100}} + 7500

\frac{d y}{d x} - \frac{2 x}{y} = 0

x y^{3} d x + (1 - x) d y = 0

\frac{d V}{d t} = - 0.4 V

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

d x + cos (t) x d t - cos (t) d t = 0

What is the solution for (dx)/(dt)=75-x/(100) ?
The solution for (dx)/(dt)=75-x/(100) is x=-e^{(-t-c_{1})/(100)}+7500