2 mesh circuit giving me trouble. (steady-stade, mesh current method, dependent current source)

The task is to find Ic in phasor form. The circuit is in steady sinusoidal state.

I used mesh current analysis and I got to that:

I have no idea how to keep going from there. Also the answer has been given as Ic = 0,5 - j0,5

Sorry if I don't use the terminology correctly. I can explain if needed.

• Differentiation transforms to multiplying by $j\omega$, so the current source is $0.5j\omega I_b=jI_b$ – Chu Sep 11 at 13:42
• @Chu so this means that the equivelant of differentiation on the time field(if my terminology is correct) is multiplying by jω in the frequency field.( im gonna delete the comment . just to check if i get it right) – lowspacetop Sep 11 at 14:03
• Yes. In Laplace, multiplying a variable by s is differentiation and $s\rightarrow j\omega$. Are you sure that 0.5 - j0.5 is correct? – Chu Sep 11 at 14:31
• Thanks a lot sir. Cant upvote anything though.Got my answer – lowspacetop Sep 11 at 14:33
• Upvoting isn't an issue. – Chu Sep 11 at 16:27