Explanation Formula used: Linearity property: The transform of a sum of functions is the sum of the transforms and is written as L [ a f ( t ) + b g ( t ) ] = a L ( f ) + b L ( g ) The Laplace transform of the function f ( t ) is defined by the function F ( s ) . The Laplace transform is denoted by L ( f ) and is given by the formula F ( s ) = L ( f ) = ∫ 0 ∞ e − s t f ( t ) d t The Laplace transform of the function f ( t ) = t cos a t for any a, is given by. L ( t cos a t ) = s 2 − a 2 ( s 2 + a 2 ) 2 The Laplace transform of the function f ( t ) = 1 for any a, is given by L ( 1 ) = 1 s . Calculation: The given function is f ( t ) = 3 + 2 t cos 3 t

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

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ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 31.11, Problem 11E

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The Laplace transform of the function f(t)=3+2tcos3t.

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Chapter 31.11, Problem 10E

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Chapter 31 Solutions

Student Solutions Manual For Basic Technical Mathematics And 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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The Laplace transform of the function f ( t ) = 3 + 2 t cos 3 t .

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The Laplace transform of the function f(t)=3+2tcos3t.

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