Page 194 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math11-1 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 ∂ V - 2 µ - 3 $
∂ q 2

∂ V - 2 . - 3
∂µ

lehdj.k rFkk dks ysus ij
p 1 h 1 dq 2
p 2 - h 2 - (;gk¡] - 2 dq 1

mRiknu :ikUrj.k dh nj)
p ∂ q 2 / x
∂
vr% 1 - - '
p 2 ∂ q 1 / x∂
lehdj.k (5) ;g n'kkZrk gS fd mRiknu :ikUrj.k dh nj dher vuqikr osQ cjkcj gksrh gS tks ;g crkrh gS
fd vkxe js[kk mRikn :ikarj.k oØ dks Li'kZ djrh gSA
izFke Øe 'krks± dks fuEu izdkj n'kkZ ldrs gSaµ
p p
µ - 1 = 2
h 2 h 2
∂ q ∂ q
;k µ - 1 = p 2
∂ x ∂ x
pw¡fd dks lhekUr mRikn esa fuEu izdkj Hkh n'kkZ;k tk ldrk gS
∂ q 1 1 ∂ q 2 1
x ∂ - h 1 , x ∂ = h 2

uksV~l Øe "
dh 'krks± osQ fy, f}rh; vodyt dk ckWMZM gsl lkjf.kd
4 5

vf/dre ykHk osQ fy, /ukRed gksuk pkfg,A

vr%
−µ h 11 −µ h 12 − h 1
−µ h 21 −µ h 22 − h 2 6 3 *
− h 1 − h 2 0

lehdj.k (6) dk foLrkj djus ij

µ 2 / 6 3 7

;k 2 / 6 3 8 pw¡fd µ 6 3

bl izdkj iQeZ lehdj.k (5) ,oa (7) dks lUrq"V djrh gS rks iQeZ fuf'pr :i ls vius vkxe dks vf/dre
djus esa liQy gksxhA