(b) Consider the following IVP with nonconstant coefficient: ty" (t) − ty' (t) + y(t) = 2, y(0) = 2, y'(0) = −4. Using the Laplace transform (or any other method), find the solution.
(b) Consider the following IVP with nonconstant coefficient: ty" (t) − ty' (t) + y(t) = 2, y(0) = 2, y'(0) = −4. Using the Laplace transform (or any other method), find the solution.
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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help me with part b please
![4.
(a)
(b)
Consider the following IVP with impulsive forcing:
y"
y″ (t) + 2025y' (t) + 2024y(t) = 2023 [8 (t − = ½) + 8 (+ − ³)],
-
y'(0) = y(0) = 0.
Find the value of the solution at time t = 1.
Consider the following IVP with nonconstant coefficient:
ty" (t) − ty' (t) + y(t) = 2, y(0)
=
2, y'(0) = −4.
Using the Laplace transform (or any other method), find the solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafade1a9-1f29-4d84-b55a-a57e5a303c8b%2F72525def-0f88-4ae3-86d5-b6a4f344c19c%2F11f0plj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
(a)
(b)
Consider the following IVP with impulsive forcing:
y"
y″ (t) + 2025y' (t) + 2024y(t) = 2023 [8 (t − = ½) + 8 (+ − ³)],
-
y'(0) = y(0) = 0.
Find the value of the solution at time t = 1.
Consider the following IVP with nonconstant coefficient:
ty" (t) − ty' (t) + y(t) = 2, y(0)
=
2, y'(0) = −4.
Using the Laplace transform (or any other method), find the solution.
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