HW5 - -2 = 0 Q3 ǫy ′′ t 1 y ′ y = 2 t y(0 = 1 y(1 =...

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Math 401 (Sec. 502) Spring, 2009 Homework 5 (due February 26) Use boundary-layer theory to obtain a one-term uniformly valid expansion for the solutions of Q1. ǫy ′′ + y + e t = 0; y (0) = 0 , y (1) = 1 . Q2. ǫy ′′ + ty + y = 0; y ( - 4) = 1 , y
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Unformatted text preview: (-2) = 0 . Q3. ǫy ′′ + ( t + 1) y ′ + y = 2 t ; y (0) = 1 , y (1) = 2 . Answers: (1) ( e − t-1)+ e − 1 ( e − t ǫ-1) , (2)-4 t-2 e 2(2+ t ) ǫ , (3) t 2 + 3 t + 1-2 e − t ǫ ....
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This note was uploaded on 04/27/2009 for the course MATH 401 taught by Professor Sarkar during the Spring '09 term at Texas A&M.

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