Change the independent variable to determine a first integral of the functional: x2 x1 y√ (y')² + y²dx. Let x'(1) = 1. Use your first integral to evaluate x'(y) at y = 3.0.
Change the independent variable to determine a first integral of the functional: x2 x1 y√ (y')² + y²dx. Let x'(1) = 1. Use your first integral to evaluate x'(y) at y = 3.0.
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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Transcribed Image Text:Change the independent variable to determine a first integral of the functional:
px 2
x1
y₁ (y')² + y²dx.
Let x'(1) = 1. Use your first integral to evaluate x'(y) at y = 3.0.
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