The switch in the following circuit with current source $I_s = 2$ A and voltage source $V_s = 50 u(t)$ V has been closed for a long time and is opened at $t=0$. Find the constants $A_1$, $A_2$, $A_3$, $\alpha$ and $\omega$ in the expression of the voltage $v(t)$ across the capacitor C at $t>0$.
(25 marks)
$v(t) = A_1 - (A_2 \cos \omega t + A_3 \sin \omega t)e^{-\alpha t}$ V
(Please round up the answer to 3 decimal places.)
