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(Solved): Given the differential equation below, find the solution using Laplace transformation. The paramete ...
Given the differential equation below, find the solution using Laplace transformation. The parameters
R,L, and
I_(s)are constants that are related to the resistance and the inductance in an RL circuit, and current
I_(s)is applied at time
t=0to the circuit in series.
I_(L)is the function you have to solve for and it corresponds to the current in the inductor. Initially
I_(L)(0)=0.
L(dI_(L))/(dt)+RI_(L)(t)=RI_(s)(a) Give an expression for
I_(L)(s), where
L{I_(L)(t)}=I_(L)(s), (b) Give an expression for
I_(L)(t); the solution to the differential equation
