Page 135 - Math Grade 12 (Advance)

PROEUS DARA

7. t?i1:fl!Hi5~ffl~~toi~ftuJru -y"+2y'+4y = -2cos2x (E)

0 c:::t, Q eJ cf 0 1 Q1
2. H'iG~f'HHi a sb b &fjruH~?i'i§S g i'HWlmru IR ttrtru g(x) = acos2x+bsin2x
dlm~ru~trotu'ts (E)
GV
?1. ummm h = f + g mm@run9i'fs (E) d5 f moe@ rues (E')
~ ~ N U ~
lli. Hi h ftjru h(O) = 0 sb h'(O) = 0 '1
8. tfr1gLnnrutu@m~~tGl~ttuJru

n. y" 3y' +5y = 4i -2x

2. y"-2y'+4y =ex

?1. y" + 4y = -2 , y (~) = ~ , y' (~) = 2

ID. 5y" + y' = -6x , y(O) = 0 , y'(O) = -10 '1
9. utUii'i§ruliHi59musuhnihsinliifn~ (ox) '1 tsi2n.n:mru t tHlin'i§fitjrudn.nuftjru
lJ 6\1 <: t_j U I
ffi8ffi~~nJ X &frlti5tbli~S x' Sbhl~g x" '1 tf:itltJttl x"+x'+x = 0 Sbtsi2rt.n:t~'i§

t = 0 urnntsg&silJl~?lru 0 ttrtruffistru~st~'i§ 2m/s '1
"" ,.
n. ~nhlYfflHSubliSl&Sg x(t) '1
2. ?iMS"Jtru~ssbrJggmnicrrnn mrun.mnr_;bm~dn.nu o 'i§bt9'lntsinlin9 1 '1
e.U I 6\1 I n 'J
10. dh?itttin'iiib 400N 9lm"!tu~'i§rutsH1tu~runms~uf1b 2m '1 tf!irJHffitu SOkg tsi
W 6\1 ..._,I lJ I U W t.f
IJ
:nbqb1wasg tf!i~'Hltu1:nsurnS"Jw~n9mbru'2bttrtrutru~s lOmls ~~tiTlnli '1

? ruunriiiqn 5

1. tfr1gLnnruw@m~~td~~fhlJrn

n. y'- 3y = 3x + 2 2. xy'- y = I - lnx

, -2x
?1. y + 2 Y = e m. y' + y = 2ex
it y' + y = cosx+ sinx 13. y' + 2y = 2i- 3

j:S_ y'+Sy = 20 , y(O) = 2 d. y' + y = I , y(O) = 0 '1

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