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Find the extrema y = y(x) of J(y) = [' (y)² √/1 + (y^)²dx, _y(0)=1=y(1). e is a minimum or maximum? Why?

Find the extrema y = y(x) of J(y) = [' (y)² √/1 + (y^)²dx, _y(0)=1=y(1). e is a minimum or maximum? Why?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the extrema y = y(x) of J(y) = f'(y)² √/1 + (y^)²dx,_y(0)=1=y(1). Which one is a minimum or maximum? Why?
Transcribed Image Text:Find the extrema y = y(x) of J(y) = f'(y)² √/1 + (y^)²dx,_y(0)=1=y(1). Which one is a minimum or maximum? Why?
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