The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)
The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
Question
I need help with this problem and an explanation for the solution described below. (Differential Equations)
![The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
¥2 = × 1(x) /
e-SP(x) dx
y²(x)
-dx
(5)
as instructed, to find a second solution y₂(x).
(12xx²)y" + 2(1 + x)y' - 2y = 0;
×₁ = x + 1
Y2
xe
(음)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e135d5c-f867-4afd-9f0d-b505f4f19664%2F9dd746b3-b1f9-41e0-8924-94a4c1fe0448%2F20g5jh_processed.png&w=3840&q=75)
Transcribed Image Text:The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
¥2 = × 1(x) /
e-SP(x) dx
y²(x)
-dx
(5)
as instructed, to find a second solution y₂(x).
(12xx²)y" + 2(1 + x)y' - 2y = 0;
×₁ = x + 1
Y2
xe
(음)
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