Q$4)[20$ marks$]$

nodal analysis

a$.$ Write the nodal equations

$[10$ marks$]$

b$.$ Simplify the equations. Write the coefficients in matrix form and use Cramer$`$s rule. Provide numerical values for the nodal voltages.

$[6$ marks$]$

c$.$ Find $\backslash (\backslash$mathrm$\{$i$\}\_\{\backslash$mathrm$\{$o$\}\}(\backslash$mathrm$\{$t$\})\backslash )$ and $\backslash (\backslash$mathrm$\{$V$\}\_\{\backslash$mathrm$\{$o$\}\}(\backslash$mathrm$\{$t$\})\backslash ),$ Assign the ground at the bottom node of the circuit.

$[4$ marks$]$