Page 106 - Math Grade 12 (Advance)

PROEUS DARA

fi. nuJmih:uultl.iruthili y' + ay = p(x)

"'
""
~unmmn: t?i'i:llsn.mr=m y'---3y = 3x+2 (E) '1
I. A rul ~~nO~ sCi 5i a stl b t~-ej~H 9 ?i'e s g A rul ~till IR n:fH15 g(x) = ax+ b

mm-@ruilttutu'fs (E) '1
GV

" ""
tSM'efil~ (E) '1

g(x) = ax+b il§J g'(x) =a

g'(x)-3g(x) = 3x+2

a 3(ax+b) = 3x+2
-3a = 3 o~
-3ax+a-3b = 3x+2 t?immrns: Sl~1 a= -1 , b = 1
""' { a- 3b = 2 u

2. tiirl mm f = h + g mm~rug url'fs (E)
lJl .........., 6\1 u
t{j h dltH~IDtSM~fil~ y' 3y = 0 &Slg h'- 3h = 0
""
-ejltl t9Jn g mm~ru'Es (E) t?itnS g'- 3g = 3x + 2

'i5nhl'e.Alb1HtlStlHtl: h'+g'-3(h+g) = 3x+2
U A A
Y. (h+g)'-3(h+g) = 3x+2

n:nru f = h+g tSlg f-3! = 3x+2

!:W&sg f = h+g dltH~ti59t94tSM~fil~ (E) '1
U GV U
3. &trl gLn.nrutu~ r=m y'- 3y = o

dy 0 ~ dy·
- = 3y Sl~1 - = 3dx
dx u y
lnjyj = 3x+c
3 . '
y = ±e x..-c = ±e" · e·"'
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