Problem $3-$ AC Nodal Analysis

a$)(10$ pts $)$ Convert the following circuit into phasor form.

b$)(15$ pts$)$ Use phasor form nodal analysis to find the current lo $\backslash (($t$)\backslash )$

c$)(5$ pts$)$ Does io $($t$)$ lead or lag h$?$

$($note that the supply $11$ is a voltage$-$controlled current source, equal to $0\mathrm{.}3$ times the voltage across $\backslash (\backslash$mathbf$\{$C $1\}\backslash ))$

$$