Page 269 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math17-1 IInd 21-10-11 IIrd 21-10-12 IVth 21-4-12 Vth 20-8-12

fJekJh^17 L fBy/VB ;wheoDK dh ikDekoh ns/ jZb L ubokPhnK dh gqEeDh dPk ns/ ;wo{g ;wheoD

sK T[go'es ;wheoD B{z o/yh ;wheoD ftZu pdbD d/ bJh ;wheoD d/ d'jK gk;/ f (y) dk Gkt d/D B'N
s/
( )
1 dv φ y
+ P = Q
( )
( ) dx
fy fy
( )
φ y dv d φ y
( )
;wheoD ftZu = v oZyhJ/ sK =  
y
fy dx dx  f ( ) 
( )
1 dy
=
k. , fiZE/ k fJZe ;fEo nze j?.
f ( ) y dx
fJ; soQK ;wheoD (2) B{z j[D n;hA fBwB fbys o{g ftZu fby ;ed/ jK^
1 dv
+ Pv = Q
k dx
dv
iK = k Pv = kQ fijVk fe fJZe o/yh ;wheoD j?.
dx
dy 1
6
T[dkjoD 6 L + y = xy dk jZb eZY'.
2
dx x
6
fdZs/ j'J/ ;wheoD B{z y Bkb Gkr d/D s/

HHHH(1)

wzfBnk

iK

;wheoD (1) ftZu oZyD s/

1 1 dv dv 1
− + v = x iK − v =− 5x
2
2
5 dx x dx 5
fJj fJZe o/yh ;wheoD j? fi; ftZu v fJZe nkPfos ubokPh j?.
2
fJZE/ P = –5/x ns/ Q = –5 x

fJ; soQK

∴

iK

5
[∵ v = 1 /y ]

iK

fJjh fBy/VB ;wheoD dk jZb j?.

LOVELY PROFESSIONAL UNIVERSITY 263