What is the solution for (dx)/(dt)=-x/(100)+125 ?

The solution for (dx)/(dt)=-x/(100)+125 is x=e^{(-t-c_{1})/(100)}+12500

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(dx)/(dt)=-x/(100)+125

\frac{d x}{d t} = - \frac{x}{100} + 125

x = e^{\frac{- t - c _{1}}{100}} + 12500

Solution steps

\frac{d x}{d t} = - \frac{x}{100} + 125

Solve separable ODE:

x = e^{\frac{- t - c _{1}}{100}} + 12500

x = e^{\frac{- t - c _{1}}{100}} + 12500

x^{^{'}} = - x^{2}, x (0) = 5

\frac{d y}{d t} = y^{2} e^{- t}, y (0) = \frac{1}{2}, t \geq 0

f (x) = \frac{1}{1 + x ^{2}} f^{^{'}} (x)

\frac{d y}{d x} = 7 x sec (y)

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

What is the solution for (dx)/(dt)=-x/(100)+125 ?
The solution for (dx)/(dt)=-x/(100)+125 is x=e^{(-t-c_{1})/(100)}+12500