HW5 - (-2) = 0 . Q3. y + ( t + 1) y + y = 2 t ; y (0) = 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. y + ( t + 1) y + y = 2 t ; y (0) = 1 , y (1) = 2 . Answers: (1) ( e t-1)+ e 1 ( e t -1) , (2)-4 t-2 e 2(2+ t ) , (3) t 2 + 3 t + 1-2 e t ....
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