Page 190 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math10-1 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 z ∂ ( , λ ( +
y ∂

z ∂ ( , * ( +
∂λ

mijksDr lHkh dks
vkSj λ osQ fy;s gy djus ij] ( C!) ( $C! vkSj λ ( * C!

24 8

rks] vf/dre mi;ksfxrk ! ( xy =  =
33 9

;g le lhekUr mi;ksfxrk fu;e dks n'kkZrk gSA

Lo&ewY;kadu

6- ;fn fdlh oLrq dh dher esa ifjorZu gks tk, rks miHkksDrk osQ miHkksx esa ifjorZu fdldk izHkko crkrk
gS\
dher miHkksx miHkksDrk oLrqA
7- ;fn fdlh oLrq dh dher esa deh gks tkrh gS rks miHkksDrk dh okLrfod vk; esa D;k ifjorZu gksrk
gS\
deh o`f¼ leku buesa ls dksbZ ugha
8- oLrq dh dher esa o`f¼ gks tkus ls miHkksDrk dh okLrfod vk; esa D;k ifjorZu gksrk gS\
leku o`f¼ deh buesa ls dksbZ ugha
∆ q
9- / (
∆ p
q d q p

p q d q
10- dher izHkko ( izfrLFkkiu izHkko ,
vk; izHkko dher izHkko miHkksDrk izHkko lHkh

10-5 lkjka'k

• ∂ 2 · ∂ u 2 u @   2  ∂ u  2 $& @ + * @
x
∂ 2 ∂x y 2  ∂∂y 
B
↓ A ()  C 
fufEu"B osQ fy;s]
! ( ) ) ( + vkSj ( +

rks

2
∂ !C∂ ?+ vkSj ∂ !C∂ ? +