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Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x + c₂e-x + c3e* b) y(x) = c₂e-2x + c₂e-* ,2x c) y(x) = c₂e²x + c₂e* d) y(x) = c₂e-2x+c₂e* + c₂e-* Q3) Evaluate £ (e-2t sin4t): 4 s+2 5+2 b) d) s²+8s+20 s²+45+20 $²+8s+20 s²+45+20 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t)

Q1) L-¹ (²-1) = a) cosht -1 Q2) The general solution of y"" + 2y" -y'-2y = 0, is: 2x a) y(x) = c₁e²x + c₂e-x + c3e* b) y(x) = c₂e-2x + c₂e-* ,2x c) y(x) = c₂e²x + c₂e* d) y(x) = c₂e-2x+c₂e* + c₂e-* Q3) Evaluate £ (e-2t sin4t): 4 s+2 5+2 b) d) s²+8s+20 s²+45+20 $²+8s+20 s²+45+20 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t)

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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Q1) L-¹ (²-1) a) cosht-1 b) 1 - cosht c) (cosh2t-1) d)(1-cosh2t) (10 Q2) The general solution of y"" + 2y" -y' - 2y = 0, is: ,2x -x b) y(x) = ce-2x + c₂e-* a) y(x) = c₁e²x + c₂e* + c3e* c) y(x) = c₁e²x + c₂e* d) y(x) = c₂e-2x+c₂e* + c3e-* Q3) Evaluate £ (e-2t sin4t): 4 s+2 5+2 b) d) s²+8s+20 s²+45+20 s²+45+20 s²+8s+20
Transcribed Image Text:Q1) L-¹ (²-1) a) cosht-1 b) 1 - cosht c) (cosh2t-1) d)(1-cosh2t) (10 Q2) The general solution of y"" + 2y" -y' - 2y = 0, is: ,2x -x b) y(x) = ce-2x + c₂e-* a) y(x) = c₁e²x + c₂e* + c3e* c) y(x) = c₁e²x + c₂e* d) y(x) = c₂e-2x+c₂e* + c3e-* Q3) Evaluate £ (e-2t sin4t): 4 s+2 5+2 b) d) s²+8s+20 s²+45+20 s²+45+20 s²+8s+20
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