Page 133 - Math Grade 12 (Advance)

PROEUS DARA

-4! -4!
x(t) = Ae + Bte
x(O) = 0 : A = 0

'
-4t
-4!
x (t) = -4Ae +Be - 4Bte -4! "" ""
Sw x'(O) = -0.9
-0.9 = -4A +B i12J B = -0.9
'"'"""r<' ( ) 0 9 -4t ti x(t) = --te '1
9
wu • ..,g x t =-. te
-4!
u "'" 10
t.,uHuH : ti=HlJ~'frHij m = o.skg ts4qt~1eu~~ruttlrul:fls'U5t~h o.sm '1 Qb'9mtl
u 1
rusb1hl~'i:fl2~tit~tl 0.82m '1 tl:i~mffieutmtru'l1llnrl'9mbrusb 0.2m ~Btl:ltrutl§n1"lhl
1 l.i 1.._, IN 1J tJ
'i:flSB ru Sl '1 ~tin suru Sl ts d'5nFitl'i:3dH:h S'i:flS nffib FiRm MStl t rui~ S ttl rufintluru Sl
l.i .. .. iWc:: "" .... eJ 1
1
( Fitl'9Fi) '1 ~Fihl{5fflm'i:fin5'9 x'(t) '1
CO N
1

e eu{5ffl~~n:lhHeu~rurutstHrutllti'9 2 ~nHeu·s'i:flSfltl9tm y"+by'+cy = o
tJ u u u
'i:fls eu{5ffla 1.? + hA. + c = o m eu{5ff1Hi.hnru '1

1. ~~tl!f 6'\m H~ ?11:3S f mm~ ruts eu{5 ffl~~ td~ti thlJ ru ttl ru t?12Jts4 ~tl ~ :

Fi. f(x) = (2x + l)e -x , y" + 2y' + y = 0

2. f(x) = e-xsinx , y" + 2y' + 2y = 0

?1. f(x) = Aex+Bxex , y"-2y'+y = 0 ttlru A stl B ctlG~StdHun~rufims '1

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

2. -4y"+7y'+2y=0

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