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-ĴP(x) dx y²(x) Y2 Y2₂=Y₁(x) [₁ = -dx as instructed, to find a second solution y₂(x). y" - 8y' + 16y=0; y₁ = e4x (5)

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-SP(x) dx
Y₂=Y₁(x) [
Y₂ =
dx
(5)
as instructed, to find a second solution y₂(x).
y" - 8y' + 16y = 0; y₁ = e4x
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-SP(x) dx Y₂=Y₁(x) [ Y₂ = dx (5) as instructed, to find a second solution y₂(x). y" - 8y' + 16y = 0; y₁ = e4x
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