Classify the following initial value problems into regular and singular perturbed problems and, if possible, calculate asymptotic expansions: (a) ɛy' + y = x; (b) y' + ɛy = x; (c) y' + y = ɛx. The initial value for each problem is y(0) = 1.
Classify the following initial value problems into regular and singular perturbed problems and, if possible, calculate asymptotic expansions: (a) ɛy' + y = x; (b) y' + ɛy = x; (c) y' + y = ɛx. The initial value for each problem is y(0) = 1.
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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