\int_{ { V }_{ 0 } }^{ V } \frac{ 1 }{ V } d v = - \int_{ 0 }^{ t } 1 d x
Solve for V
\left\{\begin{matrix}V=\frac{V_{0}}{t+1}\text{, }&V_{0}\neq 0\text{ and }t\neq -1\\V\neq 0\text{, }&V_{0}=0\text{ and }t=-1\end{matrix}\right.
Solve for V_0
V_{0}=V\left(t+1\right)
V\neq 0
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