Page 104 - Math Grade 12 (Advance)

PROEUS DARA

ln/j(x)/ = --ax+ c

/J(x)/ = e-ax--c

j(x) = ±ec. e -ax

f(x) = Ae-ax (A= ±e')

L:Jmsg f(x) = Ae -ax mm@ ruh:: tu@rn~~ to~i:HtuHli y' + ay = 0
U ru U
"" '-' "" "" ' 1 '-'.., 1 t.....-1 .-+,
• hl'Bfil~ y' +ay = 0 i:L:lblitnEHlhl'Bfil~ j(x) = TJ(x) l:wbli a=- k tulll.ll
tu@rn~~tol~ftu~rurn~:smruL:tJti9 1 m~w.nto~H15ftus
u 1 u u

( Hb9 2 thlhlS~) 'i m@rug~:flilstu@rn~dl HS 1='i'BS y = Ae-"" 'i
"' .... u u "" u 1

3. nuJuti:fl:LMtlHUtffm y' +ay = o

dy '::~"'" .-! dy
tr:lffitihlHhl~ : - = -ay m-e-.mmnHtl.lHf:'itnS - = -adx
dx "' y

tgffibtf1LrnrutrnH~mb 2 J d; = f-adx

ln/y/ = -ax+ c
ax+c
I I = e
y
c -ax
y = ±e · e
0 ~
115n A = ±ec : y = Ae-ax (A dluSStGHt/Tl'BI15ntnS)
w w
y = Ae-ax mud§rugtflilstu@rn~~to~~ftu'irurntsmruL:tJti9 1 t-er:lo.nto~
"" u u 1
Hb9 2 thlhlS~ 'i
"' .... u eJ

, c.~ cr t:::!} ~
ffl'Bblin2rul y(O) = -1 , y(O) = 1 , y(1) = I mtui1t2HfilbfflbHSI='i'BSU&'BI15S'BI15'J 'i
B Ia W 'Lt 1 ru w

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