Solve using Laplace transforms. y" - y' + 5y = 58(t- T/6) sin t y(0) = y'(0) = 0 SHOW WORK.

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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**Problem Statement:**

Solve using Laplace transforms:
\[ y'' - y' + 5y = 5\delta\left(t - \frac{\pi}{6}\right) \sin t \]

Initial Conditions:
\[ y(0) = y'(0) = 0 \]

**Instructions:**

SHOW WORK.
Transcribed Image Text:**Problem Statement:** Solve using Laplace transforms: \[ y'' - y' + 5y = 5\delta\left(t - \frac{\pi}{6}\right) \sin t \] Initial Conditions: \[ y(0) = y'(0) = 0 \] **Instructions:** SHOW WORK.
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