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dy dx (²), y(a)= A. (a) Show that by introducing the new dependent variable v(x) by the relation y = xv, equation (3.14) is transformed to the separable form = dv dx Use this transformation to find solutions of the following equations. = F(v) X - V v(a) = 41. a 2 (3.14)

dy dx (²), y(a)= A. (a) Show that by introducing the new dependent variable v(x) by the relation y = xv, equation (3.14) is transformed to the separable form = dv dx Use this transformation to find solutions of the following equations. = F(v) X - V v(a) = 41. a 2 (3.14)

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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dy dx = F (²) (²), y(a)= A. by the relation y (a) Show that by introducing the new dependent variable v(x) xv, equation (3.14) is transformed to the separable form = dv dx Use this transformation to find solutions of the following equations. F(v) — v 9 X v(a) = (3.14) A a
Transcribed Image Text:dy dx = F (²) (²), y(a)= A. by the relation y (a) Show that by introducing the new dependent variable v(x) xv, equation (3.14) is transformed to the separable form = dv dx Use this transformation to find solutions of the following equations. F(v) — v 9 X v(a) = (3.14) A a
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