valuate the following: a. L {e3t + cos6t - e3t cos6t} b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)} c. L-1 {se-4s/[(3s + 2)(s - 2)]}

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Evaluate the following:

a. L {e3t + cos6t - e3t cos6t}

b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)}

c. L-1 {se-4s/[(3s + 2)(s - 2)]}

 

Solve:

y'' - 6y' + 15y = 2sin3t ; y(0)=-1, y'(0) = -4

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