What is the solution for (dv)/(dt)=2.1-(7v)/(2180),v(0)=0 ?

The solution for (dv)/(dt)=2.1-(7v)/(2180),v(0)=0 is v=654-(654)/(e^{\frac{7t){2180}}}

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(dv)/(dt)=2.1-(7v)/(2180),v(0)=0

\frac{d v}{d t} = 2.1 - \frac{7 v}{2180}, v (0) = 0

v = 654 - \frac{654}{e ^{\frac{7 t}{2180}}}

Solution steps

\frac{d v}{d t} = 2.1 - \frac{7 v}{2180}

Solve linear ODE:

v = 654 - \frac{654}{e ^{\frac{7 t}{2180}}}

v = 654 - \frac{654}{e ^{\frac{7 t}{2180}}}

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What is the solution for (dv)/(dt)=2.1-(7v)/(2180),v(0)=0 ?
The solution for (dv)/(dt)=2.1-(7v)/(2180),v(0)=0 is v=654-(654)/(e^{\frac{7t){2180}}}