Page 114 - Math Grade 12 (Advance)

PROEUS DARA

tig fi t1 nu(Js9 9

tttHTifjb r MlJlul wnnnn1Msjms 3 ~stDru tSl8fjb 1 ~ffl~Msjms :
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d> 0
d>
3 'BS x52 = 156'BStl ru
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tfitnS ~~ -O.IS = 156 ~sturu
0 (;» I cJ
S(t) ctluSS9Ritnnti:lru'i:flsntlwSlffll tsi~M:trJru t
lJ l.i c;
I
dS
dt-O.lS=I56 (1)
0 11
...,
dS 0 IS
""'
flj'tj fil~ dt - . = 0 'i:flSut~ru S(t) = Ae '
0
"
""'
I ttjtHL'B'liL'Bb1513~StGl A tfitnS : 0 11
IJ
0 11
S'(t) = A'(x)e ' + 0.1 A(x)e '
0 11
0 11
(1) A'(x)e ' +0.l A(x)e ' -0.1 A(x)eO.lt = 156
A'(x) = e-O.Ir · 156
-Oit -Olt
A(x) = 156 e · dt = - 1 560 e · + c
J
0 It
""'
"
""
""'
ut'BI159t9itSM'Bfill (i) fi: S(t) = -1560+ce .
..., u
ttllrutsim~tib'itnAt~'BWM&blflRf1n1ffls tSl8 S(O) = o
c; u G ..,
0
S(O) = - 1560 + ce .l(O)
0 = - 1560 + c ii ~ c = 1560
0 11
[:j1JtS8 S(t) = 1560e ' -1560 '1
u
0 1!:1} I 0
30 ~tLfilrutbl.nnfDll'i:flSLtnnu~s
0 1 3
sc3o) = t56oe · < o) -1560 = 29773.4376 ~scuru '1
Lffilttg: tti y mn~fi'Bsn'f~9Sf]'\]115~[:jruttuLurum'Btnt1H1bl.f1 '1 l mnLm
IJ
eJ '!:) ~ ~ t:l OQ c:lr
titmti'i'BbUtSHSfi'BS y ntl~M:trJru t '1 tfi~:JbdlHSfi'BSn'i'B1fill'B~9SmtS8fi
G G I c; I G I ~
IJ I U
q e:£ 1 I OQ c::fl
D = 3000-7y-65y' SbHSfi'BSdnr.H:j'B~9SmtS8fi S = 1600+3y+60y' '1
I f'l A I ~

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