The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, / e-SP(x) dx (5) y} (x) Y2 = Y₁(x) Y2 = -dx as instructed, to find a second solution y₂(x). y" - 12y +36y = 0; Y₁ = ex

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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SET I1
Differential Equations

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Content Covered:
- Reduction of Order

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The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-SP(x) dx
x²(x)
Y2 = Y₁(x)
Y2 =
/
-dx (5)
as instructed, to find a second solution y₂(x).
y" - 12y' + 36y=0; y₁ = ex
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, e-SP(x) dx x²(x) Y2 = Y₁(x) Y2 = / -dx (5) as instructed, to find a second solution y₂(x). y" - 12y' + 36y=0; y₁ = ex
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,