Refining and Optimizing Analytical Models

The mathematical model is

\(\dfrac{dV}{dt}=\dfrac{I}{C}\), \(V(0) = 0\),

\(\dfrac{dI}{dt} = \dfrac{-V}{L} - \dfrac{RI}{L} + \dfrac{V_B}{L}\), \(I(0) = 0\),

where \(V_B=5V\), \(R=0.1Ω\),  \(L=4×10^{−9}H\), and \(C=0.5×10^{−9}F\).