I have to find the transfer function v(t)/i(t). First of all i calculate the the differential equations and the result is 2+i(t)=ir+c*dv/dt

2+i(t)=e^vr+c*dv/dt

Then i have to lenearize the e^v and the result is 2*v+1.38.

I think i have a mistake on the general idea and i can't proof that v(s)/i(s)=1/(s+2)

I will appreciate ifanyone can check it and help my to find the solution.