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dx dy dx +γ = 2(c-Ay) and Y. + ds ds ds where c and d are constants and rt 8(t) = √6° Show that dt√x²+2yxy + y². 33 = = 2(d+λx), dx dy + 2 dx +27 ds ds ds dy ds 2 = = 1. 3

dx dy dx +γ = 2(c-Ay) and Y. + ds ds ds where c and d are constants and rt 8(t) = √6° Show that dt√x²+2yxy + y². 33 = = 2(d+λx), dx dy + 2 dx +27 ds ds ds dy ds 2 = = 1. 3

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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y be a real constant with y² + 1 for the parametric functional 1 S[x, y] = {* dt [√ಠ+ 2y àÿ + ÿj² – A(xÿj √x² + 2y ±ý + ÿ² − \(xÿ − y)], λ>0, - with the boundary conditions x(0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. ds dx dy +7 = = 2(c- Ay) and ds where c and d are constants and t s(t) = [* dt √ã² . dt√√√x² + 2y xy + y². dx dy γ + = 2(d+\x), ds ds Show that 2 dx ds +27 dx dy ds ds 2 + རྩེ་| dy = 1. 3 ds
Transcribed Image Text:y be a real constant with y² + 1 for the parametric functional 1 S[x, y] = {* dt [√ಠ+ 2y àÿ + ÿj² – A(xÿj √x² + 2y ±ý + ÿ² − \(xÿ − y)], λ>0, - with the boundary conditions x(0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. ds dx dy +7 = = 2(c- Ay) and ds where c and d are constants and t s(t) = [* dt √ã² . dt√√√x² + 2y xy + y². dx dy γ + = 2(d+\x), ds ds Show that 2 dx ds +27 dx dy ds ds 2 + རྩེ་| dy = 1. 3 ds
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