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Let 1- cos(t) if 0 27. (a) Solve the initial-value problem y" + 4y' + 5y = g, y(0) = 0, y'(0) = 0, giving your answer in the form y(t) suitable function f. You may use the identity f(t) U2#(t) f(t – 27) for a 1 1 1 s+1 1 3s + 7 s(s? + 1)(s² + 4s + 5) 5s 8 s2 +1 40 s2 + 4s + 5 (b) Find the general solution to the equation y" + 4y' + 5y = g. again express your answer in terms of the function f you found in part (a). You may 3.

Let 1- cos(t) if 0 27. (a) Solve the initial-value problem y" + 4y' + 5y = g, y(0) = 0, y'(0) = 0, giving your answer in the form y(t) suitable function f. You may use the identity f(t) U2#(t) f(t – 27) for a 1 1 1 s+1 1 3s + 7 s(s? + 1)(s² + 4s + 5) 5s 8 s2 +1 40 s2 + 4s + 5 (b) Find the general solution to the equation y" + 4y' + 5y = g. again express your answer in terms of the function f you found in part (a). You may 3.

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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3. Let 1- cos (t) if 0 <t < 2m, g(t) = {} if t > 27. (a) Solve the initial-value problem y" + 4y' + 5y = g, y(0) = 0, y'(0) = 0, giving your answer in the form y(t) = f(t) suitable function f. You may use the identity – u27(t) f(t – 27) for a - 1 1 1 s+1 1 3s + 7 - 8(s2 + 1)(s2 + 4s +5) 5s 8 s2 +1 40 s2 + 4s + 5 (b) Find the general solution to the equation y" + 4y' + 5y = g. You may again express your answer in terms of the function f you found in part (a).
Transcribed Image Text:3. Let 1- cos (t) if 0 <t < 2m, g(t) = {} if t > 27. (a) Solve the initial-value problem y" + 4y' + 5y = g, y(0) = 0, y'(0) = 0, giving your answer in the form y(t) = f(t) suitable function f. You may use the identity – u27(t) f(t – 27) for a - 1 1 1 s+1 1 3s + 7 - 8(s2 + 1)(s2 + 4s +5) 5s 8 s2 +1 40 s2 + 4s + 5 (b) Find the general solution to the equation y" + 4y' + 5y = g. You may again express your answer in terms of the function f you found in part (a).
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