. 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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
icon
Related questions
Question
. 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
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
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage