What is the solution for (dx)/(dt)+0.1x=10 ?

The solution for (dx)/(dt)+0.1x=10 is x=-10e^{(-t-c_{1})/(10)}+100

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(dx)/(dt)+0.1x=10

\frac{d x}{d t} + 0.1 x = 10

x = - 10 e^{\frac{- t - c _{1}}{10}} + 100

Solution steps

\frac{d x}{d t} + 0.1 x = 10

Solve separable ODE:

x = - 10 e^{\frac{- t - c _{1}}{10}} + 100

x = - 10 e^{\frac{- t - c _{1}}{10}} + 100

What is the solution for (dx)/(dt)+0.1x=10 ?
The solution for (dx)/(dt)+0.1x=10 is x=-10e^{(-t-c_{1})/(10)}+100