Electronic Thoery question

if we assume that an inductor has a negligible resistance is connected to a source of Voltage Vs.... how do we calculate the transient current if we cant calculate the steady state current, I max(E/R) if R is negligible?

i(t) = i(to) + 1/L * integral from to to t of (v(t))dt

Do you have the circuit they provided? Or the full question.