Page 105 - Math Grade 12 (Advance)

PROEUS DARA

y'+y=O

dy = -y 'i5 dy = -dx
dx "'- y
ln\y\ = -x+c

0 s::
.
0
" m1Hl5Q2rl.Q y(O) = -1 . -1 = Ae Sl:&j A = -1
y =-e-x t:hm~ru~tnuu'&stu1§ms y'+y = o m1Hlin2M y(O) = -1 '1
•• B 12
" m-e ruQ2 n.g y(O) = 1 :

0
1 = Ae , A = 1

m-eruQ2rt.Q y(O) = I '1

" m-erun2M y(I) =
B 9
1
1 = Ae- , A = e

m-e run2 M y(l) = I '1
3 12
r.,ulruH 1: n:1HLti.flrutu@m~~tctHH'tuJru- y' + 2y = o m-eruQ2bl.Q y(3) = -2 '1
~
d
d
C»
';)
r.,unuH2: ~nHEJR"-esm~ruts tu-ems 3/ + 6y = o ttl rut2Jtml::lml::lHEJR"'eS
eJ
eJ
.., ' 0
m-erutsgmtlm-euMu (-4, 2) '1
r;v 1
gu1§m~~tctHHtu~runhs&Hrut:rn59 I t-eR"MtrH Hl::l9 2 2tuntus~ mtu1§ms~t:Jru
u 1 F1 1 u lJ
Q t:::), ct'';)
't:f1Sdll::l9t9i y'+ay = p(x) , a t:huSStd~ sl::l p(x) t:hHSR"'eStS X '1
u 1.1 1

100