Page 136 - Math Grade 12 (Advance)

PROEUS DARA

Ql Ql ~II J..J. e) 2
2. t f"i'i:fl fHu1:H'fU ~ t L-!1 h-1 t tUJ ru y" - 3 y' + 2 y = 2x - 5 x + 3 (E) '1

n. ~nt1upn~tLn9 2 P(x) dlm~ruilttUtU~s (E)
2. 'liirlmm t mm~ru9tvl~s (E) dj h = t -P mm~ru~nvl~stU~nu
l/1""' GIJ u 6V u
y"- 3y' + 2y = 0 (E') '1
f"i. t!:l"HUN"lrutU~fm (E') sum minHSf"i'i::1S! dlm~ru9tvl~s (E) '1
1J""' 1 GVU
C» ":> v CJ cr 1
li5. ~numru f 1::1ruts (E) tt:J rut2~tHmtl (C) mbHSf"i'i::1S t filflff1'1::1
6V IJ 'lt 1
0 t Ql II Cp 1 c:J Cp C) I Ql l 0
G ru1Gf"iillnHH1::il t S t'Ul ru'lig Sb'li Sl ntt:l ruutU'li SbHnHfl'li tUtUUnbG ru1tHSl g '1
1 u .: i.:t 1 1
3. tf"i'i:flS t\J~ fil~~ ttl~l::1ftUJb15 y" + 9y = 2cosx (E) '1 tf"iff"lb y = Z + kcosx ~t:l ru Z dl

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tShJ'i::1fil~ (E) '1
2. ti::l"HUN"lrutU~fil~ Z" + 9Z = 0 W9lmH1tH~ri59tvl~stU~fil~ (E) '1
IJ ......, 6V u
f"i. H'iGt~ri5'1::1ri5~S (E) ~t:l rutcllbmfi y(O) = 0 , y'(rc) = 3 '1
4J .:
GIJ IJ
4. tf"i2JtU~fili~ttlhHtUJill y" + y = sinx (E)

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m~ruts (E) '1

2. mb f dlm~ru9tvlts (E) '1 'liirlmm (f-<p),+(f-m) = o '1
GIJ u l/1 ......, y
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f"i. t!:l"HLN1rutU1::1m~ : y" + y = 0 '1 9lmH1tH'i::1ri59tl:f'l f &S (E) '1
,-,4
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......, GIJ u
s. tt::hgLN"lrutU~m~
4
fi.y"+4y'+5y=35e- x, y(0)=-3, y'(O)=l
2. y"- 2y' + Sy = lOcosx

f"i. y" +4y = sinx , y(O) = 1 , y'(O) = 2 '1
6. tf"i run 9 n'i::1 ruR t tU'l J ~t:J rut 915 s b tii m'i:fls ~n n..ntntl woo c '1::1nt::h Rnb'li sti1::1 ru ~!:l ru
IJ 'J 1 1 l/1 .. .: IJ
1
'i:flS~nn..ntntl 2ooc '1 t?i'1:lbm 20 Sl9tumru'1::1n ~nn..ntnn9norumtsiU~1::1 60°C '1
1 l/1 1 l/1 1

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