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Q2) Given the differential equation d²x dx + 5. + 4x = 10 u(t) dt dt2 a) Find x(t) for the case that the initial conditions are zero using Laplace transform. b) Find x(t) for the case with initial conditions, x(0) = 0 and x(0) = 1, using Laplace transform.

Q2) Given the differential equation d²x dx + 5. + 4x = 10 u(t) dt dt2 a) Find x(t) for the case that the initial conditions are zero using Laplace transform. b) Find x(t) for the case with initial conditions, x(0) = 0 and x(0) = 1, using Laplace transform.

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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Q2) Given the differential equation d²x dx + 5. + 4x = 10 u(t) dt dt2 a) Find x(t) for the case that the initial conditions are zero using Laplace transform. b) Find x(t) for the case with initial conditions, x(0) = 0 and x(0) = 1, using Laplace transform.
Transcribed Image Text:Q2) Given the differential equation d²x dx + 5. + 4x = 10 u(t) dt dt2 a) Find x(t) for the case that the initial conditions are zero using Laplace transform. b) Find x(t) for the case with initial conditions, x(0) = 0 and x(0) = 1, using Laplace transform.
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