DETAILS ZILLDIFFEQMODAP11 4.2.009.EP. The indicated function y(x) is a solution of the given differential equation. x2y" - 3xy' + 4y = 0; Y₁ = x² Use reduction of order or formula (5) in Section 4.2, as instructed. e-SP(x) dx y²(x) Y2 = Y/₁(x) [₁ Find the integrating factor. e-SP(x) dx Find a second solution y₂(x). Y₂ -dx (5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The indicated function y(x) is a solution of the given differential equation.
x²y" - 3xy' + 4y = 0; ¼/1 = x2
Use reduction of order or formula (5) in Section 4.2, as instructed.
e-SP(x) dx
y²(x)
(4)
ZILLDIFFEQMODAP11 4.2.009.EP.
Y2 = Y/₁(x) [²
Find the integrating factor.
e-SP(x) dx
V2
=
Find a second solution y₂(x).
-dx
(5)
Transcribed Image Text:2. DETAILS The indicated function y(x) is a solution of the given differential equation. x²y" - 3xy' + 4y = 0; ¼/1 = x2 Use reduction of order or formula (5) in Section 4.2, as instructed. e-SP(x) dx y²(x) (4) ZILLDIFFEQMODAP11 4.2.009.EP. Y2 = Y/₁(x) [² Find the integrating factor. e-SP(x) dx V2 = Find a second solution y₂(x). -dx (5)
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