What is the solution for (dv)/(dt)=60-7/100 v,v=0,t=0 ?

The solution for (dv)/(dt)=60-7/100 v,v=0,t=0 is v=-(6000e^{-(7t)/(100)})/7+6000/7

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(dv)/(dt)=60-7/100 v,v=0,t=0

\frac{d v}{d t} = 60 - \frac{7}{100} v, v = 0, t = 0

v = - \frac{6000 e ^{- \frac{7 t}{100}}}{7} + \frac{6000}{7}

Solution steps

\frac{d v}{d t} = 60 - \frac{7}{100} v

Solve separable ODE:

v = - \frac{6000 e ^{- \frac{7 t}{100}}}{7} + \frac{6000}{7}

v = - \frac{6000 e ^{- \frac{7 t}{100}}}{7} + \frac{6000}{7}

What is the solution for (dv)/(dt)=60-7/100 v,v=0,t=0 ?
The solution for (dv)/(dt)=60-7/100 v,v=0,t=0 is v=-(6000e^{-(7t)/(100)})/7+6000/7