Page 110 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math5-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

vFkZ'kkfL=k;ksa dk xf.kr

uksV dy
: b [ be− ax sin bx + ae ax cos bx + ] a
dx
dy
: − be sin bx + a (be cos bx + ) a
ax
ax
2
dx
 2 dy  dy dy 2 2
: − by + a  − ay +  a = 2a − (a + b ) ,
y
 dx  dx dx
lehdj.k (1) vkSj (2) ls
dy dy
2
vr% − 2a + (a + 2 b 2 ) y : -
dx 2 dx

Lo&ewY;kadu

1- fjDr LFkkuksa dh iwfrZ djsa
/
B
µ
d  dy 
  dk --------- vody&xq.kkad dgrs gSaA
dx dx  

d  d y  2 d d y
2

dx dx 2   dx (........) = dx 2


iz'ukoyh "

dy
3

" ;fn : ' ; ; ; rks 3 Kkr dhft,A
dx
3
dy

#" ;fn :
; ; ;
rks 3 Kkr dhft,A
dx
3
dy 2
)" ;fn : * rks fl¼ dhft, fd = -
dx 3 x
fuEufyf[kr iQyuksa osQ f}rh; vody&xq.kkad Kkr dhft, %
'" * *

"

+" "

" dk #ok¡ vody&xq.kkad Kkr dhft,A
2
dy 2
" ;fn :

* ; &
* rks fl¼ dhft, fd 2 + py = 0.
dx
2
dy 2a xy
2

%" ;fn ; 8
: -9 rks fl¼ dhft, fd 2 = 2 3 .
dx (ax − y )