To determine The inverse Laplace transform of the function F ( s ) = 3 s + 1 ( s − 1 ) ( s 2 + 1 ) . Explanation Formula used: The inverse Laplace transform of the function F ( s ) is given by L − 1 ( F ) = f ( t ) . The inverse Laplace transform is denoted by L − 1 . The inverse Laplace transform of the function of the form F ( s ) = 1 s + a , for any a is given by L − 1 ( 1 s + a ) = e − a t . The inverse Laplace transform of the function of the form F ( s ) = s s 2 + a 2 , for any a is given by L − 1 ( s s 2 + a 2 ) = cos a t . The inverse Laplace transform of the function of the form F ( s ) = a s 2 + a 2 , for any a is given by L − 1 ( a s 2 + a 2 ) = sin a t . Calculation: The given function is F ( s ) = 3 s + 1 ( s − 1 ) ( s 2 + 1 )

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

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ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 31.11, Problem 26E

To determine

The inverse Laplace transform of the function F(s)=3s+1(s−1)(s2+1).

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Chapter 31.11, Problem 25E

Chapter 31.11, Problem 27E

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Chapter 31 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 31.1 - Show that is a solution of . Is it the general...Ch. 31.1 - Prob. 1E Ch. 31.1 - In Exercises 1 and 2, show that the indicated...Ch. 31.1 - In Exercises 3–6, determine whether the given...Ch. 31.1 - Prob. 4E Ch. 31.1 - In Exercises 3–6, determine whether the given...Ch. 31.1 - Prob. 6E Ch. 31.1 - In Exercises 7–10, show that each function y =...Ch. 31.1 - Prob. 8E Ch. 31.1 - In Exercises 7–10, show that each function y =...

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