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) (s-3s + 3s %3D 1)Y(s) + (-as² + (3a – b)s + (-3a – c)) 1)Y(s) + (-as² + (3a – b) + (-3a – c)s) c) (s - 3s2 + 3s)Y(s) + (-as + (3a - b)s + (- 3a - c)) = - b) (s – 3s² + 3s 2 (s-1) 2 (8-1) d) (s -3s2 + 3s – 1)Y(s) + (-as² + (3a – b)s + (-3a – c)) (s-1) Select one: O a.c O b.d O cb O d a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Take Laplace Transformation on the Ordinary Differential Equation if y"-3y" + 3By -y = t e
if y(0) = 1, y(0) =b and y (0) = c.
a) (s-3s +3s - 1)Y(s) + (- as² + (3a – b)s +(-3a – c))
b) (s – 3s2 + 3s – 1)Y(s) + (- as² + (3a – b) + (-3a – c)s)
(s-1)"
(s-1)
C) (s³
3s2 + 3s)Y(s) + (-as + (3a - b)s + (-3a- c)) -
(s-1)
d) (s 3s2 + 3s- 1)Y(s) + (-as² + (3a - b)s + (-3a - c))
2
(s-1
1)*
Select
O a.c
O b.d
Ocb
O da
Transcribed Image Text:Take Laplace Transformation on the Ordinary Differential Equation if y"-3y" + 3By -y = t e if y(0) = 1, y(0) =b and y (0) = c. a) (s-3s +3s - 1)Y(s) + (- as² + (3a – b)s +(-3a – c)) b) (s – 3s2 + 3s – 1)Y(s) + (- as² + (3a – b) + (-3a – c)s) (s-1)" (s-1) C) (s³ 3s2 + 3s)Y(s) + (-as + (3a - b)s + (-3a- c)) - (s-1) d) (s 3s2 + 3s- 1)Y(s) + (-as² + (3a - b)s + (-3a - c)) 2 (s-1 1)* Select O a.c O b.d Ocb O da
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