æ' + x = 2+ 8(t – 1), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} = help (formulas) Obtain the solution æ(t). æ(t) help (formulas) Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 1. if 0
æ' + x = 2+ 8(t – 1), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} = help (formulas) Obtain the solution æ(t). æ(t) help (formulas) Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 1. if 0
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:a' + x = 2+ 8(t – 1),
x(0) = 0.
Find the Laplace transform of the solution.
X(s) = L {x(t)}
help (formulas)
Obtain the solution x (t).
x(t) =
help (formulas)
Express the solution as a piecewise-defined function and think about what happens to the graph of the solution at t = 1.
if 0 <t < 1,
x(t)
if 1<t<∞.
help (formulas)
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