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Q5: You have given the following Differential Equation (D.E): d2 (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) d %3D dt2 di(0) = 2 dt i(0) = 1 and %3D The solution of this D.E is i(t) = [1+ 2e¬2"sin(t)] u(t) Use Laplace transform to prove this solution

Q5: You have given the following Differential Equation (D.E): d2 (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) d %3D dt2 di(0) = 2 dt i(0) = 1 and %3D The solution of this D.E is i(t) = [1+ 2e¬2"sin(t)] u(t) Use Laplace transform to prove this solution

Advanced Engineering Mathematics
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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Q5: You have given the following Differential Equation (D.E): dz (i(t)) + 4 (¿(t)) + 5i(t) = 5u(t) dt di(0) = 2 dt = 1 and The solution of this D.E is i(t) = [1+ 2e¬2ªsin(t)] u(t) Use Laplace transform to prove this solution
Transcribed Image Text:Q5: You have given the following Differential Equation (D.E): dz (i(t)) + 4 (¿(t)) + 5i(t) = 5u(t) dt di(0) = 2 dt = 1 and The solution of this D.E is i(t) = [1+ 2e¬2ªsin(t)] u(t) Use Laplace transform to prove this solution
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