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(a) Consider the boundary-value problem *(1) + 3ä(1) + ex'(1) = 0 where 0 <8 «1, x(0) = 1 and x(1) = 1. %3D %3D Use the direct method of perturbation to find a first order approximation for x(t), i.e. find xo(t) and x(1) in x,(t) = xo(1) + Ex,(t) + . %3D

(a) Consider the boundary-value problem *(1) + 3ä(1) + ex'(1) = 0 where 0 <8 «1, x(0) = 1 and x(1) = 1. %3D %3D Use the direct method of perturbation to find a first order approximation for x(t), i.e. find xo(t) and x(1) in x,(t) = xo(1) + Ex,(t) + . %3D

Advanced Engineering Mathematics
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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(a) Consider the boundary-value problem *() + 34(1) + ex'(1) = 0 where 0<8«1, x(0) = 1 and x(1) = 1. %3D %3D Use the direct method of perturbation to find a first order approximation for x(t), i.e. find xo(t) and x(1) in x,(1) = xo(1) + Ex (1) + ..
Transcribed Image Text:(a) Consider the boundary-value problem *() + 34(1) + ex'(1) = 0 where 0<8«1, x(0) = 1 and x(1) = 1. %3D %3D Use the direct method of perturbation to find a first order approximation for x(t), i.e. find xo(t) and x(1) in x,(1) = xo(1) + Ex (1) + ..
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