What is the solution for (dV)/(dt)=90-(7V)/(100),V(0)=0 ?

The solution for (dV)/(dt)=90-(7V)/(100),V(0)=0 is V=-(9000e^{-(7t)/(100)})/7+9000/7

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(dV)/(dt)=90-(7V)/(100),V(0)=0

\frac{d V}{d t} = 90 - \frac{7 V}{100}, V (0) = 0

V = - \frac{9000 e ^{- \frac{7 t}{100}}}{7} + \frac{9000}{7}

Solution steps

\frac{d V}{d t} = 90 - \frac{7 V}{100}

Solve separable ODE:

V = - \frac{9000 e ^{- \frac{7 t}{100}}}{7} + \frac{9000}{7}

V = - \frac{9000 e ^{- \frac{7 t}{100}}}{7} + \frac{9000}{7}

What is the solution for (dV)/(dt)=90-(7V)/(100),V(0)=0 ?
The solution for (dV)/(dt)=90-(7V)/(100),V(0)=0 is V=-(9000e^{-(7t)/(100)})/7+9000/7