Spot the error/errors (if there is any) in the following calculation. Identify the line where the error is found. Explain why it is wrong and provide a correction for that particular line. If there is no error found in the solution, just reply with NO ERROR. Problem: Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplace Transforms. Solution: (1) L{y"- 3y'+2y} = L{4e" } (2)(s³F(s)– sy(0)– y'(0) – 3[sF(s)– y'(0)]+2F(s)=", 4 s-2 4 (2)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Spot the error/errors (if there is any) in the following calculation. Identify the line where the error is found. Explain why it is wrong and provide a
correction for that particular line. If there is no error found in the solution, just reply with NO ERROR.
Problem:
Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3,y'(0)= 5 using Laplace and
%3|
Inverse Laplace Transforms.
Solution:
(1) L{y"- 3y'+2y} = L{4e"}
%3D
4
(2)[s*F(s)– sy (0)– y'(0)]– 3[sF(s)– y'(0)]+2F(s)=-
s-2
4
(3)s°F(s)–s(-3)–5 – 3sF(s)+3(-3)+2F (s)=
S-2
Transcribed Image Text:Spot the error/errors (if there is any) in the following calculation. Identify the line where the error is found. Explain why it is wrong and provide a correction for that particular line. If there is no error found in the solution, just reply with NO ERROR. Problem: Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3,y'(0)= 5 using Laplace and %3| Inverse Laplace Transforms. Solution: (1) L{y"- 3y'+2y} = L{4e"} %3D 4 (2)[s*F(s)– sy (0)– y'(0)]– 3[sF(s)– y'(0)]+2F(s)=- s-2 4 (3)s°F(s)–s(-3)–5 – 3sF(s)+3(-3)+2F (s)= S-2
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