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(2t - 4 0st<2 (D2 – 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find L{y} L (y) = F1) 4 2e-2s 2e-2s %3D - 82(s2-1) s(s2–1) s2 (s² –1) s(s2–1) L (y) = 1+- 4 2e-2s 2e 2s %3D - 82 O L(4) =+ %3D 2 (s2-1) 2e-2s s(s2-1) 2e-2s - s2 (s?-1) s(s2-1) O L(4) = + %3D 4. 2e-2s - s2 (s2 -1) s(s2-1) 6e-2s s2 (s2-1) s(s2-1)

(2t - 4 0st<2 (D2 – 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find L{y} L (y) = F1) 4 2e-2s 2e-2s %3D - 82(s2-1) s(s2–1) s2 (s² –1) s(s2–1) L (y) = 1+- 4 2e-2s 2e 2s %3D - 82 O L(4) =+ %3D 2 (s2-1) 2e-2s s(s2-1) 2e-2s - s2 (s?-1) s(s2-1) O L(4) = + %3D 4. 2e-2s - s2 (s2 -1) s(s2-1) 6e-2s s2 (s2-1) s(s2-1)

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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2t - 4 0st<2 (D2 - 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find Lfy} L (y) = F1) 4 2e-2s %3D 2e-2s - 82(s2-1) s(s2–1) s2 (s2-1) s(s² –1) L (y) = 1+ 2e-2s 2e 2s %3D - - 82 O L(u) =+ %3D 2 (s2-1) 2e-2s s(s2-1) s2 (s?-1) 2e-2s s(s2-1) O L(4) = + %3D 4. 2e-2s - s2 (s2 -1) s(s2-1) 6e-2s - s2 (s2-1) s(s2-1)
Transcribed Image Text:2t - 4 0st<2 (D2 - 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find Lfy} L (y) = F1) 4 2e-2s %3D 2e-2s - 82(s2-1) s(s2–1) s2 (s2-1) s(s² –1) L (y) = 1+ 2e-2s 2e 2s %3D - - 82 O L(u) =+ %3D 2 (s2-1) 2e-2s s(s2-1) s2 (s?-1) 2e-2s s(s2-1) O L(4) = + %3D 4. 2e-2s - s2 (s2 -1) s(s2-1) 6e-2s - s2 (s2-1) s(s2-1)
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