Take Laplace Transformation on the Ordinary Differential Equation if y" - 3y" + 3y' - y = t? e if y(0) = 1, y(0) =b and y"(0) = c. a) (s3 – 3s2 + 3s – 1)Y(s) + (-as² + (3a – b)s + (-3a – c)) b) (s³ – 3s2 + 3s – 1)Y(s) +(-as² + (3a – b) + (–3a – c)s) c) (s³ – 3s² + 3s)Y(s) + (-as + (3a – b)s + (–3a – c)) %3D 2 (s-1)³ 2 (s-1) (s-1) 2 d) (s³ – 3s² + 3s – 1)Y(s) +(-as² + (3a – b)s + (–3a – c)) (s-1)*
Take Laplace Transformation on the Ordinary Differential Equation if y" - 3y" + 3y' - y = t? e if y(0) = 1, y(0) =b and y"(0) = c. a) (s3 – 3s2 + 3s – 1)Y(s) + (-as² + (3a – b)s + (-3a – c)) b) (s³ – 3s2 + 3s – 1)Y(s) +(-as² + (3a – b) + (–3a – c)s) c) (s³ – 3s² + 3s)Y(s) + (-as + (3a – b)s + (–3a – c)) %3D 2 (s-1)³ 2 (s-1) (s-1) 2 d) (s³ – 3s² + 3s – 1)Y(s) +(-as² + (3a – b)s + (–3a – c)) (s-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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Transcribed Image Text:Take Laplace Transformation on the Ordinary Differential Equation if y" - 3y" + 3y' - y = t2 e
if y(0) = 1, y'(0) =b and y"(0) = c.
a) (s³ – 3s2 + 38 – 1)Y(s) +(-as² + (3a – b)s + (–3a – c)
b) (s3 – 3s2 + 3s – 1)Y(s) + (-as² + (3a – b) + (–3a – c)s)
2
|
(s-1)*
(s-1)
c) (s³ – 3s2 + 3s)Y(s) + (-as + (3a – b)s + (-3a – c))
(s–1)3
2
d) (s³ – 3s2 + 3s –- 1)Y(s) +(-as² + (3a – b)s + (–3a – c))
(s-1)3
Select one:
O a. d
O b. c
O c. a
O d. b
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