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Use partial fractions to find the inverse Laplace transform of the following function. - 15 - 15s 2 s² +9s +14 F(s) = £¯¹{F(s)} =

Use partial fractions to find the inverse Laplace transform of the following function. - 15 - 15s 2 s² +9s +14 F(s) = £¯¹{F(s)} =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 55E
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Reference |f(t) = L¯¹{F(s)} 1 t tn ta eat L{f(t)} = F(s) -|- |~ S 1 2 sn +1 [(a + 1) sn+1 s-a (s > 0) (s > 0) (s > 0) (s > 0) (s>a) |f(t) = L¯¹{F(s)} cos kt sin kt cosh kt sinh kt eatin L{f(t)} = F(s) S s²+k² k s²+k² S s²-K² k s²-K² n! (s-a)n +1 (s > 0) (s > 0) (s> |k|) (s> |k|) (s>a)
Transcribed Image Text:Reference |f(t) = L¯¹{F(s)} 1 t tn ta eat L{f(t)} = F(s) -|- |~ S 1 2 sn +1 [(a + 1) sn+1 s-a (s > 0) (s > 0) (s > 0) (s > 0) (s>a) |f(t) = L¯¹{F(s)} cos kt sin kt cosh kt sinh kt eatin L{f(t)} = F(s) S s²+k² k s²+k² S s²-K² k s²-K² n! (s-a)n +1 (s > 0) (s > 0) (s> |k|) (s> |k|) (s>a)
Use partial fractions to find the inverse Laplace transform of the following function. - 15 - 15s 2 s² +9s +14 F(s) = £¯¹{F(s)} =
Transcribed Image Text:Use partial fractions to find the inverse Laplace transform of the following function. - 15 - 15s 2 s² +9s +14 F(s) = £¯¹{F(s)} =
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