1.( ) L(t sinh t) = - A) 2.( ) Let =1,=, be complex, then Arg(2, +=2) = Arg(=,)+Arg(=,) )Let "-y'+ 2t = In (t – 1,) the longest interval the solution is sure 3.( to exist (0,1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a) Determine which of following statements true or false.
1.
) L(t sinh t) = -(1
2.(
) Let z1,, be complex, then Arg(z, +=2) = Arg(z,)+ Arg(=2)
)Let p" - y'+ 2t = In (t – 1,) the longest interval the solution is sure
3.(
to exist (0,1).
4.(
) Let y" +y' = g(t) Then W(y1,Y2,Yy3, Y4)=ct
%3D
|(1-i)*(1+ /3 )
W3-i)
5.(
= 2
6.(
y" - y' = 2+e' is y, (t)= At² + Bt + ce'
)The form for nonhomegnous solution of the following D.E
) D.E (x+3)y" - 2xy' +(1- x² }y = 0 has irregular singular
7.(
point at x=-3
8.(
) L(e" cos 21) =
(s – 2)° + 4
9.
)L([(1 -r)° cos 2r dr) =
(s²+4)
e-s
10.(
u,(t)e" cosh t
(s+2)² –16,
Transcribed Image Text:a) Determine which of following statements true or false. 1. ) L(t sinh t) = -(1 2.( ) Let z1,, be complex, then Arg(z, +=2) = Arg(z,)+ Arg(=2) )Let p" - y'+ 2t = In (t – 1,) the longest interval the solution is sure 3.( to exist (0,1). 4.( ) Let y" +y' = g(t) Then W(y1,Y2,Yy3, Y4)=ct %3D |(1-i)*(1+ /3 ) W3-i) 5.( = 2 6.( y" - y' = 2+e' is y, (t)= At² + Bt + ce' )The form for nonhomegnous solution of the following D.E ) D.E (x+3)y" - 2xy' +(1- x² }y = 0 has irregular singular 7.( point at x=-3 8.( ) L(e" cos 21) = (s – 2)° + 4 9. )L([(1 -r)° cos 2r dr) = (s²+4) e-s 10.( u,(t)e" cosh t (s+2)² –16,
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