The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-/P(x) dx (5) as instructed, to find a second solution y(x). x²y" - xy + 5y = 0; Y2* Y2 = 2(X) [e Y₂ dx Y₁ x sin(2 In(x))
The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-/P(x) dx (5) as instructed, to find a second solution y(x). x²y" - xy + 5y = 0; Y2* Y2 = 2(X) [e Y₂ dx Y₁ x sin(2 In(x))
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![7.
DETAILS
The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4,2,
e-/P(x) dx
(5)
as instructed, to find a second solution y(x).
x2y" xy + 5y 0;
y₁x sin(2 In(x))
Y2*
wife
Y₂=Y₁(x)
Need Help? Read it
dx
Watch t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e0012ff-a39a-4c1f-bd64-80877d91c93c%2F1acf62ec-2662-4701-ad17-ad1cabf2a907%2F451vced_processed.png&w=3840&q=75)
Transcribed Image Text:7.
DETAILS
The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4,2,
e-/P(x) dx
(5)
as instructed, to find a second solution y(x).
x2y" xy + 5y 0;
y₁x sin(2 In(x))
Y2*
wife
Y₂=Y₁(x)
Need Help? Read it
dx
Watch t
![10
DETAILS PREVIOUS ANSWERS
The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-[P(x) dx
Y/2 = V1(x)
(5)
as instructed, to find a second solution y(x).
x²y" 5xy¹ +9y=0; y₁ = x³
y2-
Need Help? Read
-dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e0012ff-a39a-4c1f-bd64-80877d91c93c%2F1acf62ec-2662-4701-ad17-ad1cabf2a907%2Fggbmvzn_processed.png&w=3840&q=75)
Transcribed Image Text:10
DETAILS PREVIOUS ANSWERS
The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-[P(x) dx
Y/2 = V1(x)
(5)
as instructed, to find a second solution y(x).
x²y" 5xy¹ +9y=0; y₁ = x³
y2-
Need Help? Read
-dx
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