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Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos (log(x)) + 4 sin(log(x)) Use a graphing utility to graph the solution curve. y O 2 4 2 A MA 20 40 6 -2 -2 10 20 X 60 30 ,X>0 80 40 X 100 50 y X -5 y 4 2 -4 0-6 2 4 8 8 10 10 X X

Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos (log(x)) + 4 sin(log(x)) Use a graphing utility to graph the solution curve. y O 2 4 2 A MA 20 40 6 -2 -2 10 20 X 60 30 ,X>0 80 40 X 100 50 y X -5 y 4 2 -4 0-6 2 4 8 8 10 10 X X

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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Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos(log(x)) + 4 sin(log(x)) Use a graphing utility to graph the solution curve. y 4 2 2 y 2 -2 20 10 40 20 60 , x > 0 X 30 80 40 100 X 50 2 8 AA m 2 4 6 8 5 -5 y 4 2 -2 -4 co 10 X -X 10
Transcribed Image Text:Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos(log(x)) + 4 sin(log(x)) Use a graphing utility to graph the solution curve. y 4 2 2 y 2 -2 20 10 40 20 60 , x > 0 X 30 80 40 100 X 50 2 8 AA m 2 4 6 8 5 -5 y 4 2 -2 -4 co 10 X -X 10
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