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(1) L{y"-3y'+2y} = L{4e²"} 4 (2)[s*F(s)– sy(0)– y'(0) – 3[sF(s)– y'(0)]+2F(s)= -2 4 (3)s²F(s)–s(-3)-5– 3sF(s)+3(-3)+2F(s) - S S- 2 4 (4) F (s) s² – 3s +2+3s – 5– 9= S-2 | 4– 3s (s – 2)+14(s-2) (5) F (s)[s* – 3s +2] = s- 2 4 – 3s? – 6s +14s– 28 -3s +20s – 24 (6) F (s)= - (s– 2)(s² – 3s+2) (s – 2)(s² – 3s+2 -

(1) L{y"-3y'+2y} = L{4e²"} 4 (2)[s*F(s)– sy(0)– y'(0) – 3[sF(s)– y'(0)]+2F(s)= -2 4 (3)s²F(s)–s(-3)-5– 3sF(s)+3(-3)+2F(s) - S S- 2 4 (4) F (s) s² – 3s +2+3s – 5– 9= S-2 | 4– 3s (s – 2)+14(s-2) (5) F (s)[s* – 3s +2] = s- 2 4 – 3s? – 6s +14s– 28 -3s +20s – 24 (6) F (s)= - (s– 2)(s² – 3s+2) (s – 2)(s² – 3s+2 -

Advanced Engineering Mathematics
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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(1) L{y"-3y'+2y} = L{4e²"} 4 (2)[s*F(s)– sy(0)– y'(0) – 3[sF(s)– y'(0)]+2F(s)= -2 4 (3)s²F(s)–s(-3)-5– 3sF(s)+3(-3)+2F(s) - S S- 2 4 (4) F (s) s² – 3s +2+3s – 5– 9= S-2 | 4– 3s (s – 2)+14(s-2) (5) F (s)[s* – 3s +2] = s- 2 4 – 3s? – 6s +14s– 28 -3s +20s – 24 (6) F (s)= - (s– 2)(s² – 3s+2) (s – 2)(s² – 3s+2 -
Transcribed Image Text:(1) L{y"-3y'+2y} = L{4e²"} 4 (2)[s*F(s)– sy(0)– y'(0) – 3[sF(s)– y'(0)]+2F(s)= -2 4 (3)s²F(s)–s(-3)-5– 3sF(s)+3(-3)+2F(s) - S S- 2 4 (4) F (s) s² – 3s +2+3s – 5– 9= S-2 | 4– 3s (s – 2)+14(s-2) (5) F (s)[s* – 3s +2] = s- 2 4 – 3s? – 6s +14s– 28 -3s +20s – 24 (6) F (s)= - (s– 2)(s² – 3s+2) (s – 2)(s² – 3s+2 -
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