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please send handwritten solution for Q4

please send handwritten solution for Q4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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please send handwritten solution for Q4
1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t cos²(3t)}. 3. Calculate the Laplace transform L {(t+ v5)(2t³ - V3)}. 4. A function y(t) satisfies the IVP 2y' – 3y = et +2, y(0) = 4. Use the properties of the Laplace transform to calculate L {y} =Y(s).
Transcribed Image Text:1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t cos²(3t)}. 3. Calculate the Laplace transform L {(t+ v5)(2t³ - V3)}. 4. A function y(t) satisfies the IVP 2y' – 3y = et +2, y(0) = 4. Use the properties of the Laplace transform to calculate L {y} =Y(s).
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