Diff. Eq. for charging of Capacitor!

Electricity and Magnetism Level 3

The differential equation of charging of a capacitor is as given below:

$\large \frac{1}{K_1} \frac{dq}{dt} + K_2q = K_3$

The time constant $\large \tau$ and steady state charge $\large q_0$ are respectively:

\frac{K_2}{K_1}; K_2K_3

\frac{1}{K_1}; K_3

None of These

\frac{1}{K_1K_2}; \frac{K_3}{K_1}

\frac{1}{K_1K_2}; \frac{K_3}{K_2}