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1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y=8e", y(0) = 2 b) y'- y=5sin 2t, y(0) =-1 c) y"+y' -2y =10e", y(0) = 0, y'(0) =1 d) y" - y' - 2y =10 cost, y(0) = 0, y'(0) =-1

1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y=8e", y(0) = 2 b) y'- y=5sin 2t, y(0) =-1 c) y"+y' -2y =10e", y(0) = 0, y'(0) =1 d) y" - y' - 2y =10 cost, y(0) = 0, y'(0) =-1

Calculus: Early Transcendentals
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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1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y = 8e", y(0) = 2 b) y'- y = 5 sin 2t, y(0) =-1 с) у'+у-2у3D10е", у(0) %3D0, у'(0) -1 d) y" - y' - 2y =10 cost, y(0) = 0, y'(0) = -1
Transcribed Image Text:1. Use the Laplace transform to solve the following given initial-value problems. a) y'+y = 8e", y(0) = 2 b) y'- y = 5 sin 2t, y(0) =-1 с) у'+у-2у3D10е", у(0) %3D0, у'(0) -1 d) y" - y' - 2y =10 cost, y(0) = 0, y'(0) = -1
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