What is the solution for (dx)/(dt)=5*0.00001-(5x)/(10000),x(0)=2 ?

The solution for (dx)/(dt)=5*0.00001-(5x)/(10000),x(0)=2 is x= 1/10+(19)/(10e^{t/(2000))}

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(dx)/(dt)=5*0.00001-(5x)/(10000),x(0)=2

\frac{d x}{d t} = 5 \cdot 0.00001 - \frac{5 x}{10000}, x (0) = 2

x = \frac{1}{10} + \frac{19}{10 e ^{\frac{t}{2000}}}

Solution steps

\frac{d x}{d t} = 5 \cdot 0.00001 - \frac{5 x}{10000}

Solve linear ODE:

x = \frac{1}{10} + \frac{19}{10 e ^{\frac{t}{2000}}}

x = \frac{1}{10} + \frac{19}{10 e ^{\frac{t}{2000}}}

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What is the solution for (dx)/(dt)=5*0.00001-(5x)/(10000),x(0)=2 ?
The solution for (dx)/(dt)=5*0.00001-(5x)/(10000),x(0)=2 is x= 1/10+(19)/(10e^{t/(2000))}