. Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and I, are constants that are related to the resistance and the inductance in an RL circuit, and current I, is applied at time t = 0 to the circuit in series. It is the function you have to solve for and it corresponds to the current in the inductor. Initially IL (0) = 0. LI + RIL(t) = RI, (a) Give an expression for IL(s), where C{IL(t)} = IL(S), (b) Give an expression for IL (t); the solution to the differential equation
. Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and I, are constants that are related to the resistance and the inductance in an RL circuit, and current I, is applied at time t = 0 to the circuit in series. It is the function you have to solve for and it corresponds to the current in the inductor. Initially IL (0) = 0. LI + RIL(t) = RI, (a) Give an expression for IL(s), where C{IL(t)} = IL(S), (b) Give an expression for IL (t); the solution to the differential equation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:. Given the differential equation below, find the solution using Laplace transformation. The parameters R, L,
and I, are constants that are related to the resistance and the inductance in an RL circuit, and current I,
is applied at time t = 0 to the circuit in series. It is the function you have to solve for and it corresponds
to the current in the inductor. Initially IL (0) = 0.
LI + RIL(t) = RI,
(a) Give an expression for IL(s), where C{IL(t)} = IL(S),
(b) Give an expression for IL (t); the solution to the differential equation
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