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26 Maggi• Suppiniaueo are gcx) -
Keh "
can kite IR3 X
ESEMPW
:y
"
tzy'
- 3g =2 e
62+26 - 3 = 0 eqcacoutecesarue associate a y' '
+241 . 34=0
Az = - LIFE = -1+-2 if£
=D yocx) = ge×+ge→×- 3
gG) = 2e3× K=2
,V=3 ( t - 3.1 )
Ricexchiamo yp Mellon segments foemen : yp G) =CETylp G) = 3Ce3×, ylf G) = 9Ce*
. Tmpomiawo che vimeo.ee leg
9ceYt6#3eeY=2eY ←→ 12e=2 ⇒ C =La
Concludeudoy G) = Gextczekt leek
ESEMPW :
y"
toy'
-3g =ex gas =e×
,k=I .FI
Ji2eauasduhomedellleg.aarattecesticaSuoprestocason.ceecbroaaoypCx-CxexiyjCxkeext@xex.y4pcxi-eexteextexex-2eextexeE2eextfxxt2eext2fxex-3fxex-EIecex-ex-sLec-1-sC.gt-sypCx.zeZNoTAiypcx-eex.y
fg=ee× ul '.
G) - Ce×
@e× + 2ee× - 3ee× = ex =) 0 = et non W resce or
determiner C
- x
ESEMPW : y"
+2g'
+ y = 4 e
y"
tzyltg =D =D d2t2d+ 1 =D ⇒ ( te , ) ?_ 0
A : - I soeuowne"
doppuoi'
yow = SE×tsxe× Csf ,ER
- x
ga = he k= 4,
X= - I ←
y "pQl=2eE× - 2exE× - 2exE→+e×2E×
=2ee*
-Leexetxtexae 't
2ee* - ¥×+ex2E×- ¥2 2ex2E×+ex2e*=4e→= = =
⇒ 2eE× - 4E× ⇒ C -2 ⇒ yp←)=sx2e*
⇒ yk ) = czE×tSxe×t 2×25×9 ,GeR
Rwassumeudo : gk ) = Kett
- ypcx ) =Eet 't
set non e'
solution dell'
eo, ,
coratterast.cd-ypGy-Cxe.seTeweaaouoeoueseuplivdellbg.carodt_gpQ.CxseKsetEalureonedoppredcll1.eg.cacalt.Geuerolioooeudy-cwwecedrekoebbkweoaupovwoueiowixoligcowhm.alpstodi@srsccweuugeuewcopoeumomwooligcoeohMagCx7-eo.C
Pmx ) cos Sx +QmQ ) sen ok )
D,
or E 112,
m,
MEN,
Pm e Qm poeenowidifaadomem-
se 5=2 e 5=p ( ease Sco ) allow
ypks =xE× ( RmG) eosorx tsncx ) said )
dove Rn,e Sn,
saw due poeruowi di gaado N= max { m,
m } .
- n tubs gli alti was
ypcxs = em ( Ra ,G) eosorx tsncx ) said )
Caso PARTI Cohtrl : peer : 0 =D g(x)= Pmcxlasfx tQmaseuJxSe per es Pm = 0 ⇐Dgcx ) = am K ) sends +0 . cos of
u
allow ypcx ) = Rmcx) cos Jxtsmcd sen Jx .
i
ESEMP 1 . @ yi +2y'
+ y = aenx, go ) = sear .
- o
XZZX +1 = 0 ⇒ D= - I ad . slope
ypk ) =A senx + B Coax
gp G).
- Acotx - Bronx, y "pCx) =
- Agent - Book
Is- Boost+2A cos *- ZB sendtabak= senx
⇒ If = O e - IB = I ⇒ A - 0,
B -- tz
=D gp G) = - I coax
�2� y"
+by 1 t y = x sen x -
Riceeclraueo he whereon
portiwlore We found segment :
ypcx ) = (A×tB ) eosx + ( Cxt D ) seux
Spokane chesioe solution dell ' egoessegmata :
jpcxz A cos * - ( Axt B) senxtesenx + Qx+D ) eosx
= ( Ate x+D ) cosx + ( C Ax - B) seek
y"p G) = @ eoox - ( A textbook - Aaenx + ( C- Ax - B) eosx
= ( one - Ax - B) coax . ( 2A tcxt D) senx
( 2.CA#tcoox.CzAt/xtTDsenx+2CAtCx+D)cosx *
-
2 ( C Ax - B) seek*
#x#)cosx
t.CC#D)senx=xsenxeosx(2ex+2e+2A+2D) + seax fsa
- de orb +2A . ) = xsenx
2C = 0 =D @ = 0
2 ex +2C +2A +2 D= O 2e that 213=0 D= - A= .In⇐{→*.rs#x=x §I÷±Ii÷¥*a¥=D YPGD = ( sex - ± ) aosx - z senx
.
�3� y"
ty'
+y = I±×sarz× .
5+6+1=0 ⇒ a,
= -1*6=-1 t.EE Its ,p=Bz
gks = E *sent x
,
X = - £ =L, 5=rz = p
per cui coecbwaiuo he sdeohoue pacbi adore melba found
ypk ) = Xie £× ( A sen Bzx + Busrzx )Ten tonvioruo che we solution dell 1
eopuaoeome atseg math :
y pen = E *- zxI±×] ( A sen rex + B cos rzx ) +
+×£±× ( Ba A cos Bzx - Fe B serifs x )
y "p E) = [ &E£× . zI±×+t,
xI±×] ( Asante x t B cos rzx ) +
+2 [ e- £×- sax I ±×] ( Be A orbs - Bs Iseurzx
,
) +
+ XI * ( - z,
A sen §x - 3g Beos Bs x )
seurzx
¥'(
#s#x- BB
+→¥x#Ax) + easrzx .
eT×.
fHi¥+ is a-rzn##B×) + xnrzx .###r±Bxj+ eosrzx .e#×(¥1#fax) +Afxseurex.E4# eosrzx¥5 =
=
e¥×seurzx
sentzx ( - Fs
B)+ cos ,o§× ( 83 A) = sen B€× ⇒ A =D
,B =
- BL
YPGA = - §xe¥×cosBzx
aaudonon si e- in and delle situation a eui sr puo
' appliance if
matodo oh.
sowiglraume so mud proceeded coat meted di vorueveowe
delle oostouti :
Sianoysey .
le due solukoui di y"
tay 't by = 0 lm.
independent .
e
eeeebiaeaoypQs-Exx7ysWtCaWy.cxjNnpmenoloCheypCASrashenouediJQ.7taykxstbylxkffDylpCx-5CxiynQ7tCsCxykMtCLGyydxicsWykx7.Oss.cheseleLueicouifossecodellecostontisuaocebbecheCbQysCxiCLG1ydxs-0@7poecuimepomeudochevalgdmouesIudiaueoilcasoolicostauti.DaCD-Dylpg-Cslxly1.GstCsk1ykxeoleciviouuoIteceoemeute.yYpCx7-CbWyiktC.Q
)y ,
"k ) . tekxykx ) tSQ)y"sk]
Soshtuendo will 'eg . diff a he :
es'
G) yj Wt C , Hgh K ) + Cos'
41 ykx ) + SH y 't G) ÷t on GQ ) yslk) +
task ) ys G) + best yscxl + by ydxs : gcx ).
escx ) [ ys"
Wto :#'
W + by ,kD+ ski [
ykxhaykxitbyscxs.= 0 = 0
pecchi yse ysaouo solution .
+ gllx)yjcx ) tdkxlysk ) = glx ) dell '
eg . oouegened
=D CLQ ) yicxltddxys 6) =gK ).
Abbraeuo cost ottenuto A srsteune di due eqeeveoui con uicogrute Sledz
Cisc ) ysk ) + C ! cx ) ydx ) = o
{ ask ) y ! K ) +4k] ydxtgk )
Ossowaudo che bewatucedei coefficient di tale srsteaud he come
determinate 'D wzouskiauo di yseys
WK ) =
Ys# Ydx )
/yicx , gig ,
/ * ° ( ersewdo Ysey.
ein. indip . )
il astewaoewiuete serene un' auiaa solenoid - Dtteuutelefnebeoui
CLG ) e CLCA, integrand srolteugouo G67eGk) .
Estteph : y"
ty'
= -1 ( xtkti,
KEK ).
aenx
y' 't y
'to ⇒d2t 1=0 ⇒ 2=0 e f= .
1
=D yocx) = Cs cont Csaenx esker
Cerchiaueo ypai.CH cosxtscxsenx - Cuoeguesalcerepowered
sister£Q) eosxtetscxlseux =O .
{- ekxisenxekxscoox ¥
Wb , =/•× &×
|= eosxtaeeix =L
- seux coax
ekx ' =/ £ I'x/= - s ⇒ get - x
else ) . /a. °
- seux 1- / = It ⇒ escxs - enlseuxl
seek
=D ypQ)= - xeoktlnlseux ) sent
⇒ gW= Czusxtsseux - xasxtlulsaexl . senx ,Gf< ER
Riuapio oh.
aooaeppsrkom
Se gal = SEX tgdnt ... tgscx )
allow ypcx ) = ypsktt ypdxlt . . . type ) dove
tti
its - .
,s
, yq.CN e- someone pertucolare do
y' '
toy 't by =L .
ESEMPW : y"
+ y'
- 2g = × text I
y"
+ y'
- by = 0 ⇒ t2td - 2=0
=Dsoeumoii 1
,-2
=D gocx) = Cse ?tgE* , Cs , EER.
go = x text 2 = Cxts)+E× =gsHt£G)
gslx) = XTL powwow di to gzado
ceeeliouuo ypsk) = Ax+B Conte B costoeitida determined :
ykK ) = ft , ylbdxs = 0 =D A - Ztx - 2B= xts ⇒
{ I?FsI±s⇒ FEIEZ,
⇒ Ykx' ' - £× '
E
g§)=E× espowurcole can F- . I eleven 5 sdumouedellleqcoralt.
⇒ ceeebiaueoypdx ) = @E× : ykki = - ee→, y "pyxi=CE×
⇒ eE× - eE×.
2eE×=E× ⇒ - 2e= 1 ⇒C=te⇒§W=§E×
⇒ y•C⇒= ypskstypd = - Ix - 3g - IE×
=D yk ) = Ge×+SE* - Ix - 3g - IE× ,