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Problem 6: Find the inverse Laplace transform of the function 8- 3 (s2 + s – 2)(s² + 4) F(s) = You DO NOT need to determine the coefficients of partial fractions.

Problem 6: Find the inverse Laplace transform of the function 8- 3 (s2 + s – 2)(s² + 4) F(s) = You DO NOT need to determine the coefficients of partial fractions.

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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Problem 6: . ) Find the inverse Laplace transform of the function s-3 F(s) = (s2 + s – 2)(s2 + 4) You DO NOT need to determine the coefficients of partial fractions.
Transcribed Image Text:Problem 6: . ) Find the inverse Laplace transform of the function s-3 F(s) = (s2 + s – 2)(s2 + 4) You DO NOT need to determine the coefficients of partial fractions.
TABLE OF LAPLACE TRANSFORMS L{1} n! L{t"} sn+1 L {sin (at)} s2 + a? L{cos (at)} s2 + a? 1 S - a L{d(t – a)} L{f(t)8(t – a)} f(a)e-as F(s – a) s"Y (s) – s"-'y(0) – ...- y(n-1)(0) L{f * g} F(s) G(s) -as L{U (t – a)} L{f(t – a)U (t – a)} e-a* F(s) MISCELLANEOUS FORMULAS yıf %3D W W Y2 Yn ... W = (n) (n) (n) Yn ...
Transcribed Image Text:TABLE OF LAPLACE TRANSFORMS L{1} n! L{t"} sn+1 L {sin (at)} s2 + a? L{cos (at)} s2 + a? 1 S - a L{d(t – a)} L{f(t)8(t – a)} f(a)e-as F(s – a) s"Y (s) – s"-'y(0) – ...- y(n-1)(0) L{f * g} F(s) G(s) -as L{U (t – a)} L{f(t – a)U (t – a)} e-a* F(s) MISCELLANEOUS FORMULAS yıf %3D W W Y2 Yn ... W = (n) (n) (n) Yn ...
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