How can I solve part B?
Obviously, since the two sources have different frequencies I started off by killing the voltage source (short-circuit) and then tried to apply KCL.
My goal was to find the voltage on the node that is to the left of the inductor and then use voltage division to find V_o but the 1 ohm resistor that is parallel to the current source is causing a problem. I would source transform it to bring it in series with the transformed voltage source and existing 1 ohm resistor but the current through it is needed because there is also a CDVS that depends on i_x.
How can I solve it?