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3.1 Theory of linear equations 3.3 Homogeneous linear equations with constant coefficients 3.4 Undetermined coefficients 3.5 variation of parameters 3.6 Cauchy euler Equations

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① rei ,
O E O L 21T




(a) 42 io (
xtiy )
Iz
t




=fxIyT=⇐y+oT
'
=
r
z



(¥ )
① =
tan =
o




(b) 3+3 i r =
1351¥ = 352

- '

-0 =
tan Ci ) =

I
4



(c) 7 -

7 i r =⑦2_H = 752


77
'




-0 Li )
-




=
tan =




I


ebi
bi
② (a)
-




-

e
-



zi



complex form at bi


"
x is e =
cosxtisinx

X =
6 X = -
6




eb
" -
bi
=
cos 6
+
is in 6 e =
cos I -
6) t is in C -
b )
-
bi
e cos co ) I (G )
=
-
sin




cos C -
O) =
cos -0

sin l -
O) = -

sin -0


bi Gi
)
-




e -

e
=
cost tis in 6 -


( cos 6 -
is in b
-




Zi Zi


=
cos 6 t is in 6 -


cos 6 t is in 6

Zi


=
hi sin 6

Ti

=
sin 6 t O i

, (9 t II)
'



(b) > e



x = I
6


i

II is in
Ig
=
e cos -1




Ea if )
-




+
-




( at ) 9 iz
ye = >
(e .


e ) emtn =
em en
.




7e9 ( e ¥ )
'

=




tea
( Ea ( H)
ti
-

-




tears ( 7e÷ )
=
+ i




=
49122 336 .
t 28360.794 i



t
Ge )
e


x =
I
3

'




Iz Iz
e =
cos ti sin




(E)
-




ti
iz
-




( ziti CE ))
'


eliel D= en
= eh +
it 'I))

-
-


e
}
e
iffy
}

( 7¥ 7rad )
=
e cos t i sin

Document information

Uploaded on
December 23, 2020
Number of pages
9
Written in
2020/2021
Type
OTHER
Person
Unknown

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