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) y²2(x) Y2 ·[³ = Y₂ = y 1 (x) as instructed, to find a second solution y₂(x). y" + 36y= 0; Y₁ = cos(6x) -dx

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 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
Y2
Y2 = x₁(x) [²
=
y ²₁ (x)
as instructed, to find a second solution y₂(x).
y" + 36y = 0; Y₁
cos(6x)
dx
=
(5)
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 Y2 Y2 = x₁(x) [² = y ²₁ (x) as instructed, to find a second solution y₂(x). y" + 36y = 0; Y₁ cos(6x) dx = (5)
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