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 (5) as instructed, to find a second solution y(x). x²y" - xy + 5y = 0; Y2* Y2 = 2(X) [e Y₂ dx Y₁ x sin(2 In(x))

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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-/P(x) dx
(5)
as instructed, to find a second solution y(x).
x2y" xy + 5y 0;
y₁x sin(2 In(x))
Y2*
wife
Y₂=Y₁(x)
Need Help? Read it
dx
Watch t
Transcribed Image Text:7. DETAILS 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 (5) as instructed, to find a second solution y(x). x2y" xy + 5y 0; y₁x sin(2 In(x)) Y2* wife Y₂=Y₁(x) Need Help? Read it dx Watch t
10
DETAILS PREVIOUS ANSWERS
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
Y/2 = V1(x)
(5)
as instructed, to find a second solution y(x).
x²y" 5xy¹ +9y=0; y₁ = x³
y2-
Need Help? Read
-dx
Transcribed Image Text:10 DETAILS PREVIOUS ANSWERS 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 Y/2 = V1(x) (5) as instructed, to find a second solution y(x). x²y" 5xy¹ +9y=0; y₁ = x³ y2- Need Help? Read -dx
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