Лаб.роб. _зведені_

7.16

, W p 2p W p

5

.

p

7.17

W p

10

, x t 0,5sin 0,2t .

p

7.18

, W p

0,2p 1

.

p 0,5p 1

1

1 t

1

p

2

1 t

1

e p

p

3

ta

a 1

, a 1

pa 1

4

eat

1

p a

5

sin t

p2 2

6

cos t

p

p2 2

7

eat sin t

p a 2 2

8

eat cos t

p a

p a 2 2

9

t

n

1

eat

n 1

n!

p a

10

1

eat 1

1

p p a

a

11

1

eat 1

t

1

p2 p a

a2

a

12

1

eat ebt

1

p a p b

a b

13

1

aeat bebt

p

p a p b

a b

14

1

eat

1

ebt

1

1

a a b

b b a

ab

p p a p b

15

1

e

at

1

e

bt

a b

t

1

a2 a b

b2 b a

a2b2

ab

p2 p a p b

16

1

e

at

1

e

bt

1

e

ct

1

a b a c

b a b c

c a c b

p a p b p c

a

at

b

bt

c

ct

p

17

e

e

e

a b a c

b a b c

c a c b

p a p b p c

a2

at

b2

bt

c2

ct

p2

18

e

e

e

a b a c

b a b c

c a c b

p a p b p c

,

.

2

,

, :

M p x t L t f t ,

(108)

p – ,

p

d

;

dt

M p – p;

x t

– ( );

L p

– p;

f t

– ( ).

M p

,

L p

.

(1)

:

x t x t x t ,

(109)

lim x t 0 .

(110)

t

M p x t 0

n s

s

2

x t Ake k t Bl e l t sin l t l ,

(111)

k 1

l 1

n – M p 0 ;

s – pk k M p 0 ;

n s

–

p

j

l

2

l

l

k 0 l 0 ,

,

M p 0 .

a pn a pn 1

a pi a p a 0 .

(112)

n

n 1

i

1

0

a1a2

a3a0

,

(113)

a3 0, a2 0, a1

0, a0 0 .

M p a pn a

pn 1

a pi a p a

(114)

n

n 1

i

1

0

p

j .

:

M j X jY ,

(115)

X

– , X

a a 2

a

4

;

0

2

4

Y

– , Y a a 3

a 5

.

1

3

5

0 ,

),

1.

.

j Im

II

I

X

0

Re

0

Y

III

IV

M j

II

I

0

Re

0

III

IV

M j

a)

j Im

II

I

0

Re

0

III

IV

M j