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)
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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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,