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5. If f is continuously differentiable on (0, 1] and f(1) = f (0) = -1/6, prove that dr 22 2 Hint: Consider the inequality 0 (), dr.

5. If f is continuously differentiable on (0, 1] and f(1) = f (0) = -1/6, prove that dr 22 2 Hint: Consider the inequality 0 (), dr.

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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5. If f is continuously differentiable on [0, 1] and f(1) = f(0) = -1/6, prove that (f'(x))? dx 2 2 Hint: Consider the inequality 0 <(r(=) + z - f'(x) dr. 2.
Transcribed Image Text:5. If f is continuously differentiable on [0, 1] and f(1) = f(0) = -1/6, prove that (f'(x))? dx 2 2 Hint: Consider the inequality 0 <(r(=) + z - f'(x) dr. 2.
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