What is the solution for (dv)/(dt)=0.025*7-v/(2000),v(0)=100 ?

The solution for (dv)/(dt)=0.025*7-v/(2000),v(0)=100 is v=350-(250)/(e^{t/(2000))}

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(dv)/(dt)=0.025*7-v/(2000),v(0)=100

\frac{d v}{d t} = 0.025 \cdot 7 - \frac{v}{2000}, v (0) = 100

v = 350 - \frac{250}{e ^{\frac{t}{2000}}}

Solution steps

\frac{d v}{d t} = 0.025 \cdot 7 - \frac{v}{2000}

Solve linear ODE:

v = 350 - \frac{250}{e ^{\frac{t}{2000}}}

v = 350 - \frac{250}{e ^{\frac{t}{2000}}}

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What is the solution for (dv)/(dt)=0.025*7-v/(2000),v(0)=100 ?
The solution for (dv)/(dt)=0.025*7-v/(2000),v(0)=100 is v=350-(250)/(e^{t/(2000))}