4. (a) (b) y" (t) + 2025y' (t) + 2024y(t) Consider the following IVP with impulsive forcing: t- = 2023 [8 (t − − 1 ) + 8 (+ − ³)], 3 y' (0) = y(0) = 0. Find the value of the solution at time t = 1. Consider the following IVP with nonconstant coefficient:
4. (a) (b) y" (t) + 2025y' (t) + 2024y(t) Consider the following IVP with impulsive forcing: t- = 2023 [8 (t − − 1 ) + 8 (+ − ³)], 3 y' (0) = y(0) = 0. Find the value of the solution at time t = 1. Consider the following IVP with nonconstant coefficient:
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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help me with a and 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%2Fa82cbcb5-a3c5-4e7e-89d5-5b5e792a31e9%2Fxf4eoeb_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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