Use the Laplace transform to solve the given initial-value problem. y(t) = y" + y = f(t), y(0) = 0, y'(0) = 1, where f(t) = sin(t) cos(t) X 0, 0 st < 1. st< 2π t = 2π 0, )u(± ñ) ) 2 (² - π) + ( |)u(± − 2n t-

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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Use the Laplace transform to solve the given initial-value problem.
y" + y = f(t), y(0) = 0, y'(0) = 1, where f(t) =
0, 0 st < π
πst < 2π
t = 2π
1,
0,
)u(t = π) + 1
y(t) = sin(t)
cos(t)
)u( t
2π
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y" + y = f(t), y(0) = 0, y'(0) = 1, where f(t) = 0, 0 st < π πst < 2π t = 2π 1, 0, )u(t = π) + 1 y(t) = sin(t) cos(t) )u( t 2π
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