1. Consider the boundary value problem ey - xy - y = 1, y(0) = y(1)...
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1. Consider the boundary value problem ey" - x²y - y = 1, y(0) = y(1) = 1. Find a leading-order outer approximation. Show that there exist boundary layers at both r = 0 and 2 = 1, and find leading-order inner approximations for each boundary layer. Sketch the outer and inner solutions. 2. Consider the nonlinear problem (x + €y)y + y = 1, Find the solution up to ord(1) for -∞ 1. Consider the boundary value problem ey" - x²y - y = 1, y(0) = y(1) = 1. Find a leading-order outer approximation. Show that there exist boundary layers at both r = 0 and 2 = 1, and find leading-order inner approximations for each boundary layer. Sketch the outer and inner solutions. 2. Consider the nonlinear problem (x + €y)y + y = 1, Find the solution up to ord(1) for -∞
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Related Book For
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
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