Understanding i(t) and v(t) Calculations

[sofiapastrana]

Homework Statement

Compute i(t) and v(t).

Relevant Equations

i=C*dv(t)/dt
Kirchhoff laws

I think i(t)= i1f + i2f -ig. I want to be sure of it and I also need to compute v(t), but I don't know how to.

 

[DaveE]

What is the current through the 1F capacitor? What does that tell you about the voltage across that capacitor?
What is the voltage across the 2F capacitor? What does that tell you about the current through that capacitor?
What is KCL (the current sum) at the node between the two capacitors?