The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx x²(x) Y₂ Y₂ = Y₁ (x) [² 11 -dx as instructed, to find a second solution y₂(x). 16y" - 40y' + 25y = 0; y₁ = e5x/4 (5)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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,
₂-SP(x) dx
x²(x)
Y₂ = Y/₁(x) =
Y₂
-dx
(5)
as instructed, to find a second solution y₂(x).
16y" 40y' + 25y = 0;
/1 = e5x/4
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, ₂-SP(x) dx x²(x) Y₂ = Y/₁(x) = Y₂ -dx (5) as instructed, to find a second solution y₂(x). 16y" 40y' + 25y = 0; /1 = e5x/4
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