12. DETAILS The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4. e-SP(x) dx x²(x) Y2 = S ZILLDIFFEQ9 4.2.009. Y2 = y₁(x) dx (5) as instructed, to find a second solution y₂(x). x²y" - 7xy' + 16y=0; y₁ = x4

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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12.
DETAILS
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 =
Y2 = y₁(x) J
ZILLDIFFEQ9 4.2.009.
Need Help? Read It
dx
as instructed, to find a second solution y₂(x).
x²y" - 7xy' + 16y=0; y₁ = x4
(5)
Transcribed Image Text:12. DETAILS 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 = Y2 = y₁(x) J ZILLDIFFEQ9 4.2.009. Need Help? Read It dx as instructed, to find a second solution y₂(x). x²y" - 7xy' + 16y=0; y₁ = x4 (5)
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