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

  1. $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\sin t$
  2. $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\cos t$
  3. $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\cos t$
  4. $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\sin t$
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