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When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y Зу 2у 3x Зу 2x 2x Зу

When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y Зу 2у 3x Зу 2x 2x Зу

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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When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y 2x 2y 3x Зу 2x 2x 3y
Transcribed Image Text:When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y 2x 2y 3x Зу 2x 2x 3y
Show that the given functions cos x, sec x are linearly independent on the interval (0, ). O Wronskian W (cos x, sec x) = 0 Wronskian W (cos x, sec x) = 1 cOS X . seс х — 1 Wronskian W (cos x, sec x) + 0 Wronskian W (cos x, sec x) = t
Transcribed Image Text:Show that the given functions cos x, sec x are linearly independent on the interval (0, ). O Wronskian W (cos x, sec x) = 0 Wronskian W (cos x, sec x) = 1 cOS X . seс х — 1 Wronskian W (cos x, sec x) + 0 Wronskian W (cos x, sec x) = t
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