What is the solution for (dx)/(dt)=349.344897(1-e^{-0.0916t}) ?

The solution for (dx)/(dt)=349.344897(1-e^{-0.0916t}) is x=349.344897(t+10.91703…e^{-0.0916t})+c_{1}

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(dx)/(dt)=349.344897(1-e^{-0.0916t})

\frac{d x}{d t} = 349.344897 (1 - e^{- 0.0916 t})

x = 349.344897 (t + 10.91703 \dots e^{- 0.0916 t}) + c_{1}

Solution steps

\frac{d x}{d t} = 349.344897 (1 - e^{- 0.0916 t})

Substitute

\frac{d x}{d t}

with

x^{'} (t)

x^{^{'}} (t) = 349.344897 (1 - e^{- 0.0916 t})

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

x = \int 349.344897 (1 - e^{- 0.0916 t}) d t

\int 349.344897 (1 - e^{- 0.0916 t}) d t = 349.344897 (t + 10.91703 \dots e^{- 0.0916 t}) + c_{1}

x = 349.344897 (t + 10.91703 \dots e^{- 0.0916 t}) + c_{1}

What is the solution for (dx)/(dt)=349.344897(1-e^{-0.0916t}) ?
The solution for (dx)/(dt)=349.344897(1-e^{-0.0916t}) is x=349.344897(t+10.91703…e^{-0.0916t})+c_{1}