I have submitted the problem #2 solution plz according to that verify as it is asked in Q#5. Please use hand writting

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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I have submitted the problem #2 solution plz according to that verify as it is asked in Q#5. Please use hand writting 

5. Verify your result in problem 2 using the Divergence Theorem.
The Divergence Theorem is fF.dS=ffdiv(F)dv
S
E
Transcribed Image Text:5. Verify your result in problem 2 using the Divergence Theorem. The Divergence Theorem is fF.dS=ffdiv(F)dv S E
Step 2
Solution
Given vector function is, F = <ax, y, l>
the divergence of the vector function is
VF = (2x,y,1>
=
VF =3
Now let flux is
Flux =
<><ax, y, 1)
dx dy dz
2+1+0 = 3
SS
using divergence theorem.
JSS Div F dv
Flux:
Flux =
Fids
Put all values
Flux
SS₁₁ 3dv =
3 (0³)
= 2πT
3
• SSS dv = 3· Valume of the
hemisphere
3-(3-7)
Answer
=
=&FT
Transcribed Image Text:Step 2 Solution Given vector function is, F = <ax, y, l> the divergence of the vector function is VF = (2x,y,1> = VF =3 Now let flux is Flux = <><ax, y, 1) dx dy dz 2+1+0 = 3 SS using divergence theorem. JSS Div F dv Flux: Flux = Fids Put all values Flux SS₁₁ 3dv = 3 (0³) = 2πT 3 • SSS dv = 3· Valume of the hemisphere 3-(3-7) Answer = =&FT
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