The differential equation for the current $i(t)$ in the circuit of the figure is
- $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\sin t$
- $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\cos t$
- $2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\cos t$
- $\frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+2 i(t)=\sin t$