The RLC circuit is descrided by the initial value problem
"q(0)=q_0,\\quad I(0)=q'(0)=I_0"
where "q(t)" is a charge on the capacitor.
In our case we have
or
"\\frac{d^2 q}{dt^2}+6\\frac{d q}{dt}+18q=360"and
"q(0)=0,\\quad I(0)=q'(0)=9"
Solution of the IVP
"q(t)=e^{-3t}(20e^{3t}-20\\cos(3t)-17\\sin(3t))"
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