What is the solution for (dx)/(dt)+4*10^{-4}x=8*10^{-5},x(0)=1 ?

The solution for (dx)/(dt)+4*10^{-4}x=8*10^{-5},x(0)=1 is x= 1/5+4/(5e^{\frac{t){2500}}}

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(dx)/(dt)+410^{-4}x=810^{-5},x(0)=1

\frac{d x}{d t} + 4 \cdot 1 0^{- 4} x = 8 \cdot 1 0^{- 5}, x (0) = 1

x = \frac{1}{5} + \frac{4}{5 e ^{\frac{t}{2500}}}

Solution steps

\frac{d x}{d t} + 4 \cdot 1 0^{- 4} x = 8 \cdot 1 0^{- 5}

Solve linear ODE:

x = \frac{1}{5} + \frac{4}{5 e ^{\frac{t}{2500}}}

x = \frac{1}{5} + \frac{4}{5 e ^{\frac{t}{2500}}}

What is the solution for (dx)/(dt)+4*10^{-4}x=8*10^{-5},x(0)=1 ?
The solution for (dx)/(dt)+4*10^{-4}x=8*10^{-5},x(0)=1 is x= 1/5+4/(5e^{\frac{t){2500}}}