Bolulion - (A) The Linear Homogenous differen tiol Equation of ordes 2 with Ce ficients in the assumed. dange (9, 6) is Both lincarly independent Cincar Soletion y, and y,, this Equation has one and only one To 8how :- Both Cine tool Cet Yoot and yo between two Consecutive seros of 9, and t2 be two Gnsecutive 3eles of 9,lti) = and 9, It2) #o and 9,1tっ) =o ニ6 but o therurise, y, aboul Y2 are Unearly dependent inla, 80, Gee Suppose if is no zer0 of there between A, and tż thun. 9,()も0 de fine the func tion PIA)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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its an answer. please typr it i cant read handwritten .

9, (+) +0
in (8,, t2]
and y,, Y2 are
Con tinuouly differen tiable fanctiond.
9 By Rolle's
t'e (e, ta)
such that-
theorem
W (Y,, Y,; £)
It)
uwither wieh which e
Gnteradic tim
to
assumphing
y, and Ye ls unearly inidepen dent,
that
80, in between
t; and f2
2.
smilarly if we follow the poocess witha Y, aondy,
then
we get
in between any tedo Setetof Griecuhive
seras of Y2
a agero of y,
7 Bero} of 9, and
altandtiuly .
Occ Wrs
(B) Is there
Cineas and
that two. fume tions
and ť-)
Humorgineous eguation
of order 2
wi'th
the
Solulions
et
tincarly
: clearly
independent.
f-1 =0
are
et and f -1
t = 土|
and
R.
4
but
is no zro of er in befeween
and
there
(-1, 1)
Equation of ardes 2 # with Solu tims
Hamoguncaus
Solu tions
g no Cineals
et and
Transcribed Image Text:9, (+) +0 in (8,, t2] and y,, Y2 are Con tinuouly differen tiable fanctiond. 9 By Rolle's t'e (e, ta) such that- theorem W (Y,, Y,; £) It) uwither wieh which e Gnteradic tim to assumphing y, and Ye ls unearly inidepen dent, that 80, in between t; and f2 2. smilarly if we follow the poocess witha Y, aondy, then we get in between any tedo Setetof Griecuhive seras of Y2 a agero of y, 7 Bero} of 9, and altandtiuly . Occ Wrs (B) Is there Cineas and that two. fume tions and ť-) Humorgineous eguation of order 2 wi'th the Solulions et tincarly : clearly independent. f-1 =0 are et and f -1 t = 土| and R. 4 but is no zro of er in befeween and there (-1, 1) Equation of ardes 2 # with Solu tims Hamoguncaus Solu tions g no Cineals et and
The linear Momogenous differen tiol
Equation of ordes 2 with CGe fticients in the
assumed.
8o lulion - (A)
Dange
(9,b) is
Both Cincarly indeperdent
y, and y,, this Equalion has one
To 8 how :-
Cincar Solutimes
and only one
aned Yo:
Yoot between two Conseuutive seros of 9,
Cet
and
be two
Consecutive sees
of
im 19,6) 7
9,lt;) =
and 9,1t2) = 0
but
and 9, It2) #o
o therurise, y, atrel y,
Geaee suppose if
are linearly dependent inla,b).
80,
there
is no zero of
A, and tz
thin. 9, It) +o
between
[t,, Az]
de fine
the
fumc tion
PIA)
Yılt)
Transcribed Image Text:The linear Momogenous differen tiol Equation of ordes 2 with CGe fticients in the assumed. 8o lulion - (A) Dange (9,b) is Both Cincarly indeperdent y, and y,, this Equalion has one To 8 how :- Cincar Solutimes and only one aned Yo: Yoot between two Conseuutive seros of 9, Cet and be two Consecutive sees of im 19,6) 7 9,lt;) = and 9,1t2) = 0 but and 9, It2) #o o therurise, y, atrel y, Geaee suppose if are linearly dependent inla,b). 80, there is no zero of A, and tz thin. 9, It) +o between [t,, Az] de fine the fumc tion PIA) Yılt)
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