Page 130 - Math Grade 12 (Advance)

PROEUS DARA

?1. t~htjlfim y = Y, + Yp dlm~ru~s (E)
_, 3, 2 I 0
bt:hli5y=Ae'+8e'-2x+3x tS"HbtiQIS
3
3
3
y' = Ae -x + 38e x 4x + 3 , y" = A e-x+ 98e x- 4
A -x 98 Jx 4 2A -x 68 Jx 8
" 2 ' 3
y - y - y = e + e - + e - e + x- 6 3A -x 38 Jx 6 2 9 x + 10
e -
e + x -
-
2
Y - )I - )I 6 -
"2'3 = X -X ·
tlmsg m-!5ru9tvl~s (E) ~ A -x 8 Jx 2 2 3 10 '1
U GV U )I = e + e - X + X- 3
"
"" ""
n. ~ntH~li5CHMhHS (E) '1
2. tL:hZHtllli5tu'i5fill (E) fil1Hlin2blJH~13 y(O) = 2 , y'(O) = -2 '1
li B Iii
da .,.; If:$ , • ., <=~>
4. ;.;~tifieusnstsmun e;es nsjru~eti~j ~~~

Wfl1!7&1JH11iBG: dhti13rHrmruttlrn1flSHUJ m ts421hcrh~s1Mlttlrnttlcrhmti
u 1>1 "IJ 1 1 r.s-
1
c::p Ql c::P c::!l eJ
sh~U113li5 tSlztmllimlMJli5nQIS~1HJh s '1
IJ "'1 t_;

d5tt1tLlin1{1h F tg2JJ~1flscrrnSlm139tunm tSlgm13crJlti9 2 ~'is ttiQIS
1 u
F = ma ttlrn a mft5gg~scrrnSlHHi5Jnts4tnrn'ht:tHJ9 '1 ( UHHUfil13)
1 " 1 ""

mg-kS = 0
rti x dlti1f1n59~s ~ ~ wJtish 9 mh rush ts-u m13crntitil n tihl mm n'Hlh ~smn run
i.tJ • 1 tn ........, GV
1
IC$ Q) () I Jdo
"'
m M~ Ml Mlfllfl~n sh~ti tJ h hllcr rnnm Ml Ml "" ?1 k(S+x) l:tlrn k dlt13?1MtGlfil1flm
1 li t_; u 1 1 t_; "'
" ""
tSlMl k>O '1
1
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