Numerical Analysis
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 7.2, Problem 11CP

Solve

{ y = c y ( 1 y ) y ( 0 ) = 0 y ( 1 / 2 ) = 1 / 4 y ( 1 ) = 1

for

c > 0 , within three correct decimal places. (Hint: Consider the BVP formed by fixing two of the three boundary conditions. Let G ( c ) be the discrepancy at the third boundary condition, and use the Bisection Method to solve G ( c ) = 0 . )

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