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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 17E
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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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