(a) Show that {e¬*,xe¯} is a fundamental set of solutions of y" + 2y' + y = 0 on (0, 00).
(a) Show that {e¬*,xe¯} is a fundamental set of solutions of y" + 2y' + y = 0 on (0, 00).
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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Transcribed Image Text:(a) Show that {e-²,xe¬²} is a fundamental set of solutions of
y" + 2y' + y = 0
on (0, ∞).
(b) Obtain the general solution of
y" + 2y' + y = e² In x
on (0, ∞).
Transcribed Image Text:Solve the initial value problems:
(a)
y = 6+ 5y + y²; y(0) = 0
(b)
y' + 2xy + xy* = 0; y(0) = 1
%3|
%3D
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