(a) Solve the initial-value problem x?y" – xy + 5y = 0, y(1) = v2, y'(1) = 3/2 %3D and show that your solution can be written in the form y(x) = 2x cos(2 In x - 1/4). (b) Determine all zeros of y(x). (c) o Sketch the corresponding solution curve on the interval [0.001, 16], and verify the zeros in the interval [3, 16].
(a) Solve the initial-value problem x?y" – xy + 5y = 0, y(1) = v2, y'(1) = 3/2 %3D and show that your solution can be written in the form y(x) = 2x cos(2 In x - 1/4). (b) Determine all zeros of y(x). (c) o Sketch the corresponding solution curve on the interval [0.001, 16], and verify the zeros in the interval [3, 16].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(a) Solve the initial-value problem
x?y" – xy + 5y = 0,
y(1) = v2, y'(1) = 3/2
%3D
and show that your solution can be written in the
form
y(x) = 2x cos(2 In x - 1/4).
(b) Determine all zeros of y(x).
(c) o Sketch the corresponding solution curve on the
interval [0.001, 16], and verify the zeros in the
interval [3, 16].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9570c2-32aa-42c6-8548-5168854b1515%2F0a084cac-e18b-434a-a759-60830c0a061f%2Flikdudf.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Solve the initial-value problem
x?y" – xy + 5y = 0,
y(1) = v2, y'(1) = 3/2
%3D
and show that your solution can be written in the
form
y(x) = 2x cos(2 In x - 1/4).
(b) Determine all zeros of y(x).
(c) o Sketch the corresponding solution curve on the
interval [0.001, 16], and verify the zeros in the
interval [3, 16].
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