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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
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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))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0ea2d4f-59e8-4e3c-a5a9-502be2ed3934%2F325c6e5c-c9c8-43bd-acb3-29e4eb76c22b%2Ffcvxa2g_processed.jpeg&w=3840&q=75)
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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