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Therefore, 1 -3TS e 1 s +1 -3TS e -s +1 + 82 + 1 Y(s) = (s² + 1)(s² + 2s +3) s2 + 2s + 3 (s + 1)? + 2 (s +1)? +2 4 This implies that 1 y(t) |- cos(t) + sin(t) + e-t cos(v2t) + u3r (t)e-(t-3m) sin(v2(t – 37)). 2

Therefore, 1 -3TS e 1 s +1 -3TS e -s +1 + 82 + 1 Y(s) = (s² + 1)(s² + 2s +3) s2 + 2s + 3 (s + 1)? + 2 (s +1)? +2 4 This implies that 1 y(t) |- cos(t) + sin(t) + e-t cos(v2t) + u3r (t)e-(t-3m) sin(v2(t – 37)). 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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Please explain how it got the implied equation? 

Therefore, 1 37TS е 1 -s +1 s+1 -3TS e Y(s) = + s2 + 2s + 3 + (s2 + 1)(s2 + 2s + 3) s2 + 1 (s +1)? + 2 (s + 1)? +2 4 This implies that 1 y(t) = |- cos(t) + sin(t) + et cos(v2t) +u3n (t)e-(t-3r) sin(v2(t – 3m)). -u3n(t)e-(t-3r) sin(v2(t – 37)). 2
Transcribed Image Text:Therefore, 1 37TS е 1 -s +1 s+1 -3TS e Y(s) = + s2 + 2s + 3 + (s2 + 1)(s2 + 2s + 3) s2 + 1 (s +1)? + 2 (s + 1)? +2 4 This implies that 1 y(t) = |- cos(t) + sin(t) + et cos(v2t) +u3n (t)e-(t-3r) sin(v2(t – 3m)). -u3n(t)e-(t-3r) sin(v2(t – 37)). 2
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