Use the Laplace transform to solve the given initial-value problem. y" + 2y + y = ô(t 8), y(0) = 0, y'(0) = 0 +(C ]-[ y(t) =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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M

y(t) =
DETAILS
Use the Laplace transform to solve the given initial-value problem.
y" + 2y' + y = ô(t-8), y(0) = 0, y'(0) = 0
1) (+- [
For Xp
+
DETAILS
Verify that the vector X, is a particular solution of the given nonhomogeneous linear system.
P
- (³) *² +
ZILLDIFFEQ9 7.5.010.
x² = (²²)x - (₁¹) ² x₁ = (²) e* + (-¹) ²
X'
11
te", one has
X₂
ZILLDIFFEQ9 8.1.023.
(²)x₂ - (₁1) ² =
001
Since the above expressions ---Select---
· x₂ = ( ² ) ² ² + ( _ ) te ² is a
is a particular solution of the given system.
Transcribed Image Text:y(t) = DETAILS Use the Laplace transform to solve the given initial-value problem. y" + 2y' + y = ô(t-8), y(0) = 0, y'(0) = 0 1) (+- [ For Xp + DETAILS Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. P - (³) *² + ZILLDIFFEQ9 7.5.010. x² = (²²)x - (₁¹) ² x₁ = (²) e* + (-¹) ² X' 11 te", one has X₂ ZILLDIFFEQ9 8.1.023. (²)x₂ - (₁1) ² = 001 Since the above expressions ---Select--- · x₂ = ( ² ) ² ² + ( _ ) te ² is a is a particular solution of the given system.
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