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10/ 9y" +3y - 2y = 0 %3D

10/ 9y" +3y - 2y = 0 %3D

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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The 10th problem. 

solution (30), the amplitude of each oscillation remains constant in time. expe Problems Teeach of Problems 1 through 4, use Euler's formula to write the given G expression in the form a + ib. 1. exp(2-i) G obivonq 2. e3ix ()p()gs. 3. e2-(3x/2)i 4 7-1+4i enentation ere n od nso (E) noiteupe 2udT In each of Problems 5 through 11, find the general solution of the given galds differential equation. ool oi Jedi babivong expn N yl – 4y' + 5y = 0 6. y"- 2y' +8y = 0 7. y"+4y +5y = 0 %3D olues bns zizvisns od unm woHs %3D | %3D + 6y + 10y = 0 9. у" + бу + 9.25у %3D0 motanet of yn.08 dguond EE 2maldont to beo nl Jom ord vd asioiiaoo t loz let 8. %3D 10/9y" +3y – 2y = 0 11. y" + 6y + 11.25y = 0 %3D In each of Problems 12 through 15, find the solution of the given initial value problem. Sketch the graph of the solution and describe its behavior for increasing t. G 12. y" +4y = 0, y(0) = 1, y'(0) = 0 %3D © 13. y' – 2y + 5y = 0, y'(/2) = 4 y(r/2) = 0, %3D
Transcribed Image Text:solution (30), the amplitude of each oscillation remains constant in time. expe Problems Teeach of Problems 1 through 4, use Euler's formula to write the given G expression in the form a + ib. 1. exp(2-i) G obivonq 2. e3ix ()p()gs. 3. e2-(3x/2)i 4 7-1+4i enentation ere n od nso (E) noiteupe 2udT In each of Problems 5 through 11, find the general solution of the given galds differential equation. ool oi Jedi babivong expn N yl – 4y' + 5y = 0 6. y"- 2y' +8y = 0 7. y"+4y +5y = 0 %3D olues bns zizvisns od unm woHs %3D | %3D + 6y + 10y = 0 9. у" + бу + 9.25у %3D0 motanet of yn.08 dguond EE 2maldont to beo nl Jom ord vd asioiiaoo t loz let 8. %3D 10/9y" +3y – 2y = 0 11. y" + 6y + 11.25y = 0 %3D In each of Problems 12 through 15, find the solution of the given initial value problem. Sketch the graph of the solution and describe its behavior for increasing t. G 12. y" +4y = 0, y(0) = 1, y'(0) = 0 %3D © 13. y' – 2y + 5y = 0, y'(/2) = 4 y(r/2) = 0, %3D
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