The differential equation for the current i(t) in the circuit of the figure is

A. $$2\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \sin t$$
B. $$\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}}2i\left( t \right) = \cos t$$
C. $$2\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \cos t$$
D. $$\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \sin t$$
Answer: Option C

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