Consider the following differential equation y" - 4y + 4y = te, y (0) = 1, y'(0) = 1 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 (s - 2)² S5 (s - 2)² + + 1 (S-2) 4 1 (S-2) 4 1 (S-2) 4 S + 5 1 + (S-2) ² (s 2) 4 2 1

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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Consider the following differential equation
y" - 4y + 4y = te, y (0) = 1, y'(0) = 1
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
(s - 2)²
S5
(s - 2)²
+
+
1
(S-2) 4
1
(S-2) 4
1
(S-2) 4
S + 5
1
+
(s - 2)2 (s 2) 4
-
Transcribed Image Text:Consider the following differential equation y" - 4y + 4y = te, y (0) = 1, y'(0) = 1 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 (s - 2)² S5 (s - 2)² + + 1 (S-2) 4 1 (S-2) 4 1 (S-2) 4 S + 5 1 + (s - 2)2 (s 2) 4 -
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