can someone explain how he gets the partial derivative done here. i dont understand the process

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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can someone explain how he gets the partial derivative done here. i dont understand the process 

Q5) Given q
U (₁ + Z² ) ²
x
+
Uy ↑ is the
x² + y²
incompressible
form of the Continuity Equation satisfied ?
What are the values of x and y for the flow to be
stagnant ?
Transcribed Image Text:Q5) Given q U (₁ + Z² ) ² x + Uy ↑ is the x² + y² incompressible form of the Continuity Equation satisfied ? What are the values of x and y for the flow to be stagnant ?
ди
Ox
Əv
ду
-
=7 ди
ox
[U(x)}
Э
Uy
дул хоту?
Э
dx
+ dv
ម្ល៉េះ។
–
U
=
ди
ох
+
U-ух2y
미
m
ди
од
=
. V|-(x1+x)2x + (ганХану”)
(x2+y2) 2
(x2+y2)2
о
3
- 2x? - 2xy² - 2č +3+lxy +7&+y*-2q+x+y=
(x2+y2)?
UxO
O
Yes (1) is sutisfied.
+ (x²+4²)
(x2+y²)=
2
Transcribed Image Text:ди Ox Əv ду - =7 ди ox [U(x)} Э Uy дул хоту? Э dx + dv ម្ល៉េះ។ – U = ди ох + U-ух2y 미 m ди од = . V|-(x1+x)2x + (ганХану”) (x2+y2) 2 (x2+y2)2 о 3 - 2x? - 2xy² - 2č +3+lxy +7&+y*-2q+x+y= (x2+y2)? UxO O Yes (1) is sutisfied. + (x²+4²) (x2+y²)= 2
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