Circuit Theory/TF Examples/Example34

$i_{s}=1+3cos(2t)$, find i_o

Example34 ... used in wikibook circuit theory .. parallel RLC current source, 2 initial conditions, find current through capacitor leg

This problem is done three different ways, reflecting three different transfer function starting points which imply three different paths to visit the initial conditions. Click on the transfer functions below:

$H(s)={\frac {i_{0}}{i_{s}}}$

$H(s)={\frac {i_{L}}{i_{s}}}$

$H(s)={\frac {V_{c}}{i_{s}}}$