A 1) min pxx + pyy s.t. Xxx + ayy =ū x, L(x, y, 2) = px x + P4y px + xxλ=0 Py + xy₁ = 0 2²: xxx+xxy_ū = 0 y since u(x, y) represents X: when y=0 x = U x=0 ут = u ху 2) elp, u) = min 3) W = = min { p²² x,y x(p₁w) = + X[Xxx + xyy _ Ñ] الله x (p₁w) = w PX y (p₁w) = w Py (1) (2) (3) min { Px, P4 & V(D,W) 7 xx ay (1)/(2) Poc : PY perfect subs, we have corner solutions: → h₂c (p₁ū) = ū xx ⇒hy (p₁ ū) = ū xy By Y ū Ky min & Px, х,у 4) Roy's identity : x (p, W) == 20 / av or O or o PLZ dy = xx W Px xx ----wa corner solution -wkx P² wax wax Px²¹ /xx) 一般 3
A 1) min pxx + pyy s.t. Xxx + ayy =ū x, L(x, y, 2) = px x + P4y px + xxλ=0 Py + xy₁ = 0 2²: xxx+xxy_ū = 0 y since u(x, y) represents X: when y=0 x = U x=0 ут = u ху 2) elp, u) = min 3) W = = min { p²² x,y x(p₁w) = + X[Xxx + xyy _ Ñ] الله x (p₁w) = w PX y (p₁w) = w Py (1) (2) (3) min { Px, P4 & V(D,W) 7 xx ay (1)/(2) Poc : PY perfect subs, we have corner solutions: → h₂c (p₁ū) = ū xx ⇒hy (p₁ ū) = ū xy By Y ū Ky min & Px, х,у 4) Roy's identity : x (p, W) == 20 / av or O or o PLZ dy = xx W Px xx ----wa corner solution -wkx P² wax wax Px²¹ /xx) 一般 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
please teach explain step by step, I do not know notations,
![A
1) min pxx + pyy s.t. Xxx + ayy =ū
x,
L(x, y, 2) = px x + P4y
px + xxλ=0
Py + xy₁ = 0
2²: xxx+xxy_ū = 0
y
since u(x, y) represents
X:
when y=0 x = U
x=0
ут
= u
ху
2) elp, u) = min
3) W
=
= min { p²²
x,y
x(p₁w) =
+ X[Xxx + xyy _ Ñ]
الله
(1)
(2)
(3)
x (p₁w) = w
PX
y (p₁w) = w
Py
min { Px, P4 & V(D,W)
7
xx
ay
min & Px,
х,у
(1)/(2) Poc
:
PY
perfect subs, we have corner solutions:
→ h₂c (p₁ū) = ū
xx
⇒hy (p₁ ū) = ū
xy
By Y ū
Ky
PLZ
dy
-4) Roy's identity : X (p, W) = ax / av
x
or o
or o
= xx
W
Px
xx
corner solution
----wa
-wkx
wax Px
wax Px²¹
/xx)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4641886b-89da-403b-8f60-7233a6fc439f%2Fa95dafd1-ef7c-4fe8-a85c-3f1b06d79e03%2Fyue58077_processed.png&w=3840&q=75)
Transcribed Image Text:A
1) min pxx + pyy s.t. Xxx + ayy =ū
x,
L(x, y, 2) = px x + P4y
px + xxλ=0
Py + xy₁ = 0
2²: xxx+xxy_ū = 0
y
since u(x, y) represents
X:
when y=0 x = U
x=0
ут
= u
ху
2) elp, u) = min
3) W
=
= min { p²²
x,y
x(p₁w) =
+ X[Xxx + xyy _ Ñ]
الله
(1)
(2)
(3)
x (p₁w) = w
PX
y (p₁w) = w
Py
min { Px, P4 & V(D,W)
7
xx
ay
min & Px,
х,у
(1)/(2) Poc
:
PY
perfect subs, we have corner solutions:
→ h₂c (p₁ū) = ū
xx
⇒hy (p₁ ū) = ū
xy
By Y ū
Ky
PLZ
dy
-4) Roy's identity : X (p, W) = ax / av
x
or o
or o
= xx
W
Px
xx
corner solution
----wa
-wkx
wax Px
wax Px²¹
/xx)
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