Page 111 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math5-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ f}rh; ,oa mPprj Øe osQ vodyu

2
dy 2 dy uksV
2
" ;fn dk iQyu gS rFkk :
rks fl¼ dhft, fd 2 = a 2 .
dx dz

#" ;fn :

] rks fl¼ dhft, fd 8 8 :

)" ;fn : e tan − 1 x rks fl¼ dhft, fd ; ; 8 : -

2
dy 2
'" ;fn x + y + y − x = , c rks fl¼ dhft, fd = .
dx 2 c 2
2
dy 6a 2
+ = 0.
" ;fn ; ; :
9 rks fl¼ dhft, fd
dx 2 (x + 2 )
y
1 1 − − 2 log x − 1 3 + 2 log x dy
2
+" ;fn : tan 1 + 2 log x + tan 1 − 6 log x , rks fl¼ dhft, fd dx 2 = 0.
2
2 2
dp a b
+ p = .
" ;fn * :

θ ;

θ9 rks fl¼ dhft, fd
dθ 2 p 3

" ;fn : e a sin − 1 x 9 rks fl¼ dhft, fd 8 8 8
: -

" ;fn :

7

9 rks fl¼ djks fd 8 8 ; 7 : -

5-2 lkjka'k % ""
dy
• ;fn 9 dk dksbZ iQyu gks rks osQ lkis{k dk vody&xq.kkad vFkkZr~ Hkh dk iQyu gksrk
dx
dy d  dy 
gS ftldk fiQj ls vodyu fd;k tk ldrk gSA osQ vody xq.kkad   dks dk f}rh;
dx dx dx  
vody&xq.kkad dgrs gSaA
5-3 'kCndks'k # )

• mÙkjksÙkj 0

% ØekxrA
• fofo/ )

% fefJrA

5-4 vH;kl&iz'u )

2
1 dy

1- ;fn : − ] rks 2 Kkr dhft,A (mÙkj % # 8 )
x 3 dx
4
dy 6
=
2- ;fn : * rks fl¼ dhft, fd 4 -
dx x
2
dy dy 2 2
3- ;fn :

gks] rks fl¼ djsa fd − 2a + (a + b ) y = 0
dx 2 dx