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Question 3 Use the Laplaçe transform to solve the initial values problem: y" + 4y = S(t-1)-8(t-2), y(0) = -1, y' (0) = 3.

Question 3 Use the Laplaçe transform to solve the initial values problem: y" + 4y = S(t-1)-8(t-2), y(0) = -1, y' (0) = 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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Question 3 Use the Laplace transform to solve the initial values problem: y" + 4y = 8(t-1)-8(t-2), y(0) = -1, y' (0) = 3. none of these answers O y(t) = Oy(t) = O y(t) = cos(2t) + O y(t) = cos(2t) + cos(2t) + sin(2t) + u₂ (t) sin(2(t-1)) - uz (t) sin(2(t-2)) cos(2t) sin(2t) + u₁ (t) sin(2(t-1))u2 (t) sin(2(t-1)) sin(2t) + u₁ (t) sin(2(t-1))u₂ (t) sin(2(t-2)) sin(2t) + u₁ (t) sin(2(t-1))-u₂ (t) sin(2(t - 2))
Transcribed Image Text:Question 3 Use the Laplace transform to solve the initial values problem: y" + 4y = 8(t-1)-8(t-2), y(0) = -1, y' (0) = 3. none of these answers O y(t) = Oy(t) = O y(t) = cos(2t) + O y(t) = cos(2t) + cos(2t) + sin(2t) + u₂ (t) sin(2(t-1)) - uz (t) sin(2(t-2)) cos(2t) sin(2t) + u₁ (t) sin(2(t-1))u2 (t) sin(2(t-1)) sin(2t) + u₁ (t) sin(2(t-1))u₂ (t) sin(2(t-2)) sin(2t) + u₁ (t) sin(2(t-1))-u₂ (t) sin(2(t - 2))
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