Numerical Analysis
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 7.1, Problem 1E

Use Theorem 7.1 to prove that the boundary value problems have unique solutions y ( t ) .

  1. { y = y + 2 3 e t y ( 0 ) = 0 y ( 1 ) = 1 3 e
  2. { y = ( 2 + 4 t 2 ) y y ( 0 ) = 1 y ( 1 ) = e
  3. { y = 4 y + ( 1 4 t ) e 2 t y ( 0 ) = 0 y ( 1 ) = 1 2 e 2
  4. { y = y + 1 / t + 2 ( y e t ) 3 y ( 1 ) = e 1 y ( 2 ) = e 2 1 2
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