Page 134 - Math Grade 12 (Advance)

PROEUS DARA

!:i. y"- 2y' = 0

'155. y"- 3y' + 3y = 0

b. 2y" + 3y'- 2y = 0

cr. y"- 3 y' + y = o '1

3. QbnHl1is'i;1ru'J~btgn'tj t!:i2J f ctu-t~f:i'tjSRM~tru IR '1 ~ntu~m~~to~~HtuJru
1
rntsnhuf:tlti9 2 ~nHtusttlru'i:flSHSf:i'tjS f t:hut~ru
u u 1 6V
-2x
n. f(x) = (x + l)e
-x 3x
2. f(x) = 2e + 3e

!:i. f(x) = (2cos3x- 3sin3x)ex '1
4. tf:tl gLnnrutu~fil~~ tt:HiHtuJru'i:fls ruQ2 t1lJ t~'tj

n. y"- y = 0 , y(O) = I , y'(O) = -2

2. y"- 2y' + 3y = 0 , y(O) = 2 , y'(O) = 1

!:i. y" + y = 0 ' y (~) = 3 ' y' (~) = 2

'155. y"-3y'+2y = 0 'y(l) = 1 'y'(l) = 3 '1

5. t!:i'i:f1Shl~fil~~td~cithlJbl5 y"-4y'+2y = 4 (E) '1
et eJ C» Q ':»
n. ~nHSf:i'tjSttH k ttlrut:hut'tjti5f:Hhlhl&S (E)
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""
'
2. t ttl gLnn ru hl'tj m~ y"- 4y' + 2y = 4
!:i. ~nut~ru~ttututs (E) ttlrutcllbm~run2rult~'tj y(O) = 2J2 , y'(O) = o '1
6V ~ ~ 9 s
6. t!:i'i:flShl~fil~~td~ciftuJru y" + 3y' = 5 (E)

':) Q11 0 I\;) t::i
n. ~ n~ hl ts hl'tj fil~ hl mru ts hl'tj m~ (E)
2. mHS!:i'i:5S g ttlru g(x) =Ax t:hut~ru~thlhltShl~fili (E)
1 6V
...
R tf:tl8Lhllti5hl'i:5fil~ y" + 3y' = 5

3
QIQ...,
'155. ~nut~rutHhlhltShl'i:5fil~ mrurun y(O) = e , y'(l) = 2 '1
QJ
3

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