Consider the mass-spring system described by the initial value problem (a): Use the Laplace Transform to solve the differential equation. y+4y=6u (-) cos(t), y(0) = 0,1'(0) = 0. Hint: Rewrite cos(t). The table of trigonometric identities in the course pack may be useful. (b): Plot your answer to (a) using GeoGebra Classic and Export Image. Attach it as part of your submission to this question. Increase line thickness of the curve to 9 as done in the prior assignment to increase visibility. Under general settings (where you export the image) change the font size to 32 pt. Note: Heaviside (t) is the command for the Heaviside Step Function u(t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the mass-spring system described by the initial value problem
(a): Use the Laplace Transform to solve the differential equation.
y+4y=6u (-) cos(t), y(0) = 0,1'(0) = 0.
Hint: Rewrite cos(t). The table of trigonometric identities in the course pack may be useful.
(b): Plot your answer to (a) using GeoGebra Classic and Export Image. Attach it as part of your submission to this question. Increase line thickness of the curve to 9 as done in the prior
assignment to increase visibility. Under general settings (where you export the image) change the font size to 32 pt.
Note: Heaviside (t) is the command for the Heaviside Step Function u(t).
Transcribed Image Text:Consider the mass-spring system described by the initial value problem (a): Use the Laplace Transform to solve the differential equation. y+4y=6u (-) cos(t), y(0) = 0,1'(0) = 0. Hint: Rewrite cos(t). The table of trigonometric identities in the course pack may be useful. (b): Plot your answer to (a) using GeoGebra Classic and Export Image. Attach it as part of your submission to this question. Increase line thickness of the curve to 9 as done in the prior assignment to increase visibility. Under general settings (where you export the image) change the font size to 32 pt. Note: Heaviside (t) is the command for the Heaviside Step Function u(t).
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