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(b) The decomposed Laplace Transformed of y(t) is given by OA 41 S-2 1 +4 (S-2)2 +1 (S-2)² +1 O B. -- O C. 11 3 s O C. O D. 41 —— O D. +5 S -2- S-2 - (S-2)² +1 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)²+1 s-1 +5. 3 s (S-1)²+1 y(t) = 3 +6 y(t) = ₁ (c) The solution to the IVP is OA. y(t) = -3-2e²t cost+6e²¹ sint OB. 1 -5e2t 1 (S-1)². 1 (S-1)²+1 - +4- +5e¹ cost +4e¹ sint cost+4te²t sint 1 1 y(t) ==-=-e¹c cost+=e¹ sint e OE. None of the given answers is correct

(b) The decomposed Laplace Transformed of y(t) is given by OA 41 S-2 1 +4 (S-2)2 +1 (S-2)² +1 O B. -- O C. 11 3 s O C. O D. 41 —— O D. +5 S -2- S-2 - (S-2)² +1 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)²+1 s-1 +5. 3 s (S-1)²+1 y(t) = 3 +6 y(t) = ₁ (c) The solution to the IVP is OA. y(t) = -3-2e²t cost+6e²¹ sint OB. 1 -5e2t 1 (S-1)². 1 (S-1)²+1 - +4- +5e¹ cost +4e¹ sint cost+4te²t sint 1 1 y(t) ==-=-e¹c cost+=e¹ sint e OE. None of the given answers is correct

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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8 please show written work Part C only
(b) The decomposed Laplace Transformed of y(t) is given by OA 41 1 (s −2)² +1 OB. 3 s O C. 11 OC. O D. 41 == OD. -3- -2- S +5 S-2 (s - 2)² +1 y(t) = S-2 (S-2)² +1 +4- 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)² +1 1 - +5 +4 3 s (S-1)2 +1 (S-1)² +1 y(t): = S-1 (c) The solution to the IVP is OA y(t) = -3-2e²t cost+6e²¹ sint OB. 1 (s− 1)² +6- 1 4 y(t) = +5e¹ cost + 4e¹ sint 5e2t cost+4te2t sin t 1 2 OE. None of the given answers is correct -e¹ cost+e¹ sint -½-½e¹ e's
Transcribed Image Text:(b) The decomposed Laplace Transformed of y(t) is given by OA 41 1 (s −2)² +1 OB. 3 s O C. 11 OC. O D. 41 == OD. -3- -2- S +5 S-2 (s - 2)² +1 y(t) = S-2 (S-2)² +1 +4- 1 S-1 1 + 2 s 2 (S-1)2² +1 2 (S-1)² +1 1 - +5 +4 3 s (S-1)2 +1 (S-1)² +1 y(t): = S-1 (c) The solution to the IVP is OA y(t) = -3-2e²t cost+6e²¹ sint OB. 1 (s− 1)² +6- 1 4 y(t) = +5e¹ cost + 4e¹ sint 5e2t cost+4te2t sin t 1 2 OE. None of the given answers is correct -e¹ cost+e¹ sint -½-½e¹ e's
Consider the initial value problem y" - y'=e¹ cost, y(0) = 0, y'(0) = 0 (a) The Laplace Trabsform of y(t) is given by OA 1 1
Transcribed Image Text:Consider the initial value problem y" - y'=e¹ cost, y(0) = 0, y'(0) = 0 (a) The Laplace Trabsform of y(t) is given by OA 1 1
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