The indicated function y₁(x) is a solution of the given differential equation. e-SP(x) dx y} (x) Y₂=Y₁(x) [² Y₂ = -dx (5) as instructed, to find a second solution y₂(x). (1 - 2x - x²)y" + 2(1 + x)y' – 2y = 0; y₁ = x + 1 -

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
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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-JP(x) dx
Y₂ = y ₁ (x)
Y₂ =
1
y²₁ (x)
-dx
(5)
as instructed, to find a second solution y₂(x).
(1 - 2x - x²)y" + 2(1 + x)y' - 2y = 0;
Y₁ = x + 1
Transcribed Image Text: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-JP(x) dx Y₂ = y ₁ (x) Y₂ = 1 y²₁ (x) -dx (5) as instructed, to find a second solution y₂(x). (1 - 2x - x²)y" + 2(1 + x)y' - 2y = 0; Y₁ = x + 1
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,