What is the solution for (dx)/(dt)=0.36-(9x)/(100) ?

The solution for (dx)/(dt)=0.36-(9x)/(100) is x=-e^{(-9t-c_{1})/(100)}+4

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(dx)/(dt)=0.36-(9x)/(100)

\frac{d x}{d t} = 0.36 - \frac{9 x}{100}

x = - e^{\frac{- 9 t - c _{1}}{100}} + 4

Solution steps

\frac{d x}{d t} = 0.36 - \frac{9 x}{100}

Solve separable ODE:

x = - e^{\frac{- 9 t - c _{1}}{100}} + 4

x = - e^{\frac{- 9 t - c _{1}}{100}} + 4

What is the solution for (dx)/(dt)=0.36-(9x)/(100) ?
The solution for (dx)/(dt)=0.36-(9x)/(100) is x=-e^{(-9t-c_{1})/(100)}+4