Page 107 - Math Grade 12 (Advance)

PROEUS DARA

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MfilfJJ: b'i5 h ltltH'i:1l1HSn5'!:Hfl~ y'+ay = 0 Stl g ltltH'i:1l1Hltn5n5'i:1t1HSn5'i:1fil~
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y'+ay = p(x) (SlH?10lS: f(x) = h(x)+g(x) ti1Gd~ru9rsilsnJ~fil~ y'+ay = p(x) ~
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• tfj'i:1jttll 8Lti..flf11n5~fil~~ td~~ thlJ DHlit s fH b1.hnti9 I m~MtG~@ s~~tn5 s

y' + ay = p(x) , p(x) * 0 tt1U'i~ :
u

QJ r.r4.., t:IJ c:lJ cf C)e)
- tH'i:1fi19ttni:Sn5'i:1fil~ y'+ay = p(x) l:i'HS?1'i:1S y l:wru: y = Yc+Yp ~
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cullw:
IIIII
" n:tHLn.nrunJ~fil~ y'- 2y = o

d)' 0 ~ dy
- = 2ySl~1- = 2dx
dx u y
lnjyj = 2x+ c
2x c
Yc = Ae (A = ±e )

y' P = 2ax + b

2 2
(E) : 2ax + b- 2ax - 2bx- 2c = 8x - 8x
2 2
- 2ax + (2a- 2b)x + b- 2c = 8x - 8x

-2a = 8 a= -4
j ~ b = 0
2a-2b = -8
b -2c = 0 { c = 0
2
Yp = -4x

2
~msg m~ru~tvl&snJ~fill (£) ~ y = Yc+Yp :I y = Aix-4x 1 '1

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