Figure $1$

$1-1.$ Formulate the differential equations of V$\_(1)($t$),$V$\_(2)($t$),$ and V$\_($N$)($t$).$

$1-2.$ Solve the equations in $1-1$ in time domain.

$1-3.$ Solve the equations in $1-1$ in frequency domain.

$1-4.$ When V$\_($s$)($t$)=5$cos$\backslash$omega t$[$V$],$f$=1$kHz$,$R$=1$k$\backslash$Omega $,$C$=10$nF$,$ draw V$\_(1)($t$),$V$\_(2)($t$),$ and V$\_($N$)($t$).$