Page 109 - 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

osQ lkis{k iqu% vodyu djus ij] uksV
2
dy : Am ( sin mx ). d (mx − ) Bm cos mx . d (mx )
−
dx 2 dx dx

:8 7

7 8 &7
7
:8 7

7 ; &
7 : 8 7

2
dy 2
vr% + my : -
dx 2
mnkgj.k 3- ;fn
] rks fl¼ dhft, fd
%"

gy % fn;k gS] :
: <

=

iqu% vodyu djus ij
: <

= 8

;
<8

=

: 8

8

: 8

8
9 < :

=
y
2
x
: − sin . 1 − y cos x , < ls=
cos x
vr% ;
;
: -

mnkgj.k 4- ;fn
gks rks fl¼ dhft, fd
2
dy − 2a dy (a 2 b 2 ) y = . 0
dx 2 dx

gy % fn;k gS] :
osQ lkis{k vodyu djus ij]
dy : e ax d (sin bx + sin bx . d (e ax )
)
dx dx dx

d ax d
)
.
: e ax cos bx . (bx + sin bx e . (ax )
dx dx
: be ax cos bx + ae ax sin bx
: be ax cos bx + ay , <lehdj.k (1) ls=

osQ lkis{k iqu% vodyu djus ij]
2
dy  ax d d ax  dy

dx 2 : be . dx (cos bx + ) cos bx . dx (e ) +   a dx

 ax d ax d  dy
: b e .( sin bx ) . dx (bx + ) cosbx .e . dx (ax ) +   a dx
−

