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Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation

Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation

Calculus For The Life Sciences
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
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Given the differential equation below, find the solution using Laplace transformation. The parameters R, L, and V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(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 V, are constants that are related to the resistance and the inductance in an RL circuit, and voltage V, is applied at time t = 0 to the circuit in series. I(t) is the function you have to solve for and it corresponds to the current in the circuit. Initially IL (0) = 0. L+RI(t) = Vs (a) Give an expression for I(s), where C{I(t)} = I(s), (b) Give an expression for I(t); the solution to the differential equation
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