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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
100%
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6c8ed7d-75cc-4e27-869e-3ad6a1efc0b4%2F4f7d5950-a4c5-4da2-abcb-a8c5a15118c2%2Fjt9fpj_processed.jpeg&w=3840&q=75)
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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