Network Theory Sinusoidal Steady State Analysis Laplace Analysis of Networks

What will be the current relationship in time domain for a capacitive circuit?

1
\(\rm C\frac{d^2v}{dt^2}\)
2
\(\rm i(t)=C\frac{dv}{dt}\)
3
\(\rm i(t)=C\int_0^tv(t)\)
4
\(\rm i(t)=C\int_0^tv(t)+i(0)\)

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