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-/P(x) dx Y₂ = Y ₁₂ (x) [ Y₂ v} (x) -dx (5) as instructed, to find a second solution y₂(x). 36y" - 60y' + 25y = 0; Y₁ = e5x/6

Calculus: Early Transcendentals
8th Edition
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 

y1(x)

 is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,

y2 = y1(x) 
 
e−∫P(x) dx
y
2
1
(x)
 
 
dx
        (5)

as instructed, to find a second solution 

y2(x).
36y'' − 60y' + 25y = 0;     y1 = e5x/6
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-/P(x) dx
Y₂ = Y ₁₂ (x) [
Y₂
v} (x)
-dx
(5)
as instructed, to find a second solution y₂(x).
36y" - 60y' + 25y = 0;
Y₁ = e5x/6
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-/P(x) dx Y₂ = Y ₁₂ (x) [ Y₂ v} (x) -dx (5) as instructed, to find a second solution y₂(x). 36y" - 60y' + 25y = 0; Y₁ = e5x/6
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