The currents 1,(l) and ,(1), for a certain circuit are governed by the initial-value problem R(İ, - i.)+-1, = Ė (1) I, (O)=0
- 2 12 + R(1₂-1) = 0; 1₂(0)=0
Where Ris a known resistance, Cis a known capacitance, and E(1) is a prescribed applied
voltage. Solve for I, (i) and 1 (0) by the Laplace transform, for the case where E(t) = Kt and K
is an arbitrary constant.