Find the value (1) for a solution (1 + 2x)y" + 4xy' – 4y = 0; y(0) = 1, y'(0) = −1 -2x is a solution to (1 + 2x)y” + 4xy' — 4y = 0. given that e (x) to the initial value problem: e-² ln 2 1+e-2 1-e-2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the value (1) for a solution
(1 + 2x)y" + 4xy' – 4y = 0; y(0) = 1, y'(0) = −1
-2x
is a solution to (1 + 2x)y” + 4xy' — 4y = 0.
given that e
(x) to the initial value problem:
e-² ln 2
1+e-2
1-e-2
Transcribed Image Text:Find the value (1) for a solution (1 + 2x)y" + 4xy' – 4y = 0; y(0) = 1, y'(0) = −1 -2x is a solution to (1 + 2x)y” + 4xy' — 4y = 0. given that e (x) to the initial value problem: e-² ln 2 1+e-2 1-e-2
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