8. Fort the electrical network below, Derive the two differential equations that relate input f(t) to that of outputs mesh current yı(t) and y₂(t).

a. Now using substitution or Cramer's rule like we did in class find the differential equation that describes the relation between input f(t) and output yı(t) only.Similarly derive the differential equation that models the relations between input f(t) and output y2(t) only.

b.Note that you are not required to solve the for the time domain algebraic expression of the two mesh currents. You are only required to set up the differential equations. We will see on how to solve them later on.