Consider the following differential equation y" - 4y' + 4y= t et, y (0) = 1, y'(0) = 7

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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Consider the following differential equation
y" - 4y' + 4y = te", y (0) = 1, y'(0) = 7
Let Y(s) = {y(t)}. Find Y(s).
O
O
O
Y(s) = =
Y(s) =
Y(s) =
Y(s) =
S-3
(s - 2)²
+
S +3
1
+
(s - 2)² (S-2) 4
S- - 5
(s - 2)²
S+5
(s - 2)²
1
(S-2) 4
+
+
1
(S-2)4
1
(s - 2) 4
Transcribed Image Text:Consider the following differential equation y" - 4y' + 4y = te", y (0) = 1, y'(0) = 7 Let Y(s) = {y(t)}. Find Y(s). O O O Y(s) = = Y(s) = Y(s) = Y(s) = S-3 (s - 2)² + S +3 1 + (s - 2)² (S-2) 4 S- - 5 (s - 2)² S+5 (s - 2)² 1 (S-2) 4 + + 1 (S-2)4 1 (s - 2) 4
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