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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

(x^{2} - 3) \frac{d y}{d x} = x (y^{2} + 16), y (2) = 4

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

y^{^{'}} = \frac{4 x}{1 + 2 y}, y (9) = 0

\frac{d x}{x} = \frac{d y}{y}

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

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