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VED1
E L-LOVELY-H math17-1 IInd 6-8-11 IIrd 21-10-12 IVth 21-4-12 Vth 20-8-12

noEPk;soh dk rfDs

B'N T[go'es ;wheoD d/ A ns/ B w[ZbK d/ bJh fBy/VB ;wheoD gsk eoB d/ bJh ;wheoD (1) B{z
d' pko fBy/VB eoKr/. ;wheoD (1) B{z fBy/VB eoB s/

HHHH(2)

;wheoD (2) B{z d[pkok fBy/VB eoB s/

;wheoD (2) ns/ (3) ftZu'A A ns/ B B{z jNkT[D s/ n;hA d/yd/ jK^

fJjh ;kvk fBy/VB ;wheoD j't/rk.

17H1 gfjbk eqw ns/ gfjbh e'Nh dk fBy/VB ;wheoD
(Differential Equation of First Order and First Degree)

gfjb/ eqw ns/ gfjbh e'Nh d/ fBy/VB ;wheoD B{z fBwB fbys o{g ftZu gqdofPs eod/ jB^
M + N (dy/dx) = 0 iK M dx + N dy = 0
fJZE/ M ns/ N ;fEo jB ns/ x ns/ y d/ e[ZM cbB jB. Gkt/A fe gfjb/ eqw d/ ;ko/ fBy/VB
;wheoD jw/PK jZb BjhA ehsk ik ;ed/ jB, fco th i/eo T[j fBwB fbys ;o{g ftZu T[gbpX
j[zd/ jB sK e[ZM T[fus ftXhnK d[nkok T[jBK dk jZb eZfYnk ik ;edk j?^

17H1H1 ubokPhnK dh gqEeheoD dPk (Variable Separable Case)
i/eo fBy/VB ;wheoD fBwB fbys o{g ftZu gqdofPs j't/^
f 1 (x) dx = f 2 (y) dy
fJZE/ f 1 (x) ns/ f 2 (y) eqw nB[;ko x ns/ y d/ cbB j?.
nfijh dPk ftZu ;wheoD d/ d'jK gk;/ nB[ebB eo b?Ad/ jB ns/ T[; s'A pknd ;wheoD d/
fJZe gk;/ e'Nh ekbgfBe ;fEo nze i'V b?Ad/ jB. fJ; soQKL

B'N; fJZE/, c fJZe ekbgfBe ;fEo nze j?.

T[dkjoD 1H dk jZb eZY'.

jZb L d'jK gk;/ nB[ebB eoB s/

iK

iK , fJjh ;kv/ fdZs/ j'J/ ;wheoD dk jZb j?.

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