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ң

ғ

-қ ұғ ғ ә ұқ (қ қң ғ)

ө

 

2002

 


ҚҰ: .., .., ...

ғ . қ ұғ ғ ә ұқ . 8- ө.-: , 2002 28.

 

ұ ә ұқ ә ң ү өң қ қң ү ң ғ әң ғ 8 -қ ұ ғ ғ қғ . ғң қ ұқ . -қ ұ ү ң ө. ң .

 

 

ϲʲ : ..ғ.., ...

 

ә ң 2002 ң .

 

Ó ә , 2002

қ (қ)

 

қ ұқ

1 ү. үұқ ә .

2 ққ, ұққ, ғ, .

3 үұқ ә .

4 ү. ө . .

5 Қ . үұқ қ.

6 ү қ ң ң ү .

 

ң

 

1 үұқ , , ?

a) f(t) b) f(t) a) f(t) b) f(t)
1.1 1.2
1.3 1.4
1.5 1.6
1.7 1.8
1.9 1.10
1.11 1 12
1.13 1.14
1.15 1.16
1.17 1.18
1.19 1.20
1.21 1.22
1.23 1.24
1.25 1.26
1.27 1.28
1.29 1 30

 

2 ққ, ұққ, ғ, , ө ң қ.

) ) ) )
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.10
2.11
2.12
2.13
2.14
2.15
2.16
2.17
2.18
2.19
2.20
2.21
2.22
2.23
2.24
2.25
2.26
2.27
2.28
2.29
2.30

 

3 үұқ , ө ң қ.

 

a) ) )
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
3.10
3.11
3.12
3.13
3.14
3.15
3.16
3.17
3.18
3.19
3.20
3.21
3.22
3.23
3.24
3.25
3.26
3.27
3.28
3.29
3.30

 

4 үұқң қ.

 

4.1         4.2 4.3    
4.4   .   4.5 4.6  
4.7   4.8 4.9    
4.10     4.11 4.12    
4.13   4.14 4.15    
     
4.16     4.17 4.18    
4.19   4.20 4.21    
4.22   4.23 4.24    
4.25   4.26 4.27    
4.28   4.29 4.30    

 

5 f(t) ә g(t) ң ү .

 

f(t) g(t) f(t) g(t)
5.1 Cos t Sin t 5.2 Sin 3t
5.3 Cos t Cos t 5.4 t Sin 2t
5.5 5.6 t+1 Sin t
5.7 t Cos t 5.8 Cos 2t
5.9   Sin t 5.10 Sin t Sin t
5.11   Cos t 5.12  
5.13 t Ch 3t 5.14 Sh t
5.15 Ch 2t 5.16 t Sh 3t
5.17 Cos 2t Sin t 5.18 Sin 6t
5.19 Cos t Cos 2t 5.20 t Sin 4t
5.21 5.22 t+2 Sin t
5.23 t-1 Cos t 5.24 Cos 4t
5.25   Sin 3t 5.26 Sin 2t Sin t
5.27   Cos 4t 5.28 1+t
5.29 t-2 Ch 3t 5.30 Sh 5t

 

6 ө , f(t) ң F(p) үұқ қ.

 

F(p) F(p) F(p)
6.1 6.2 6.3
6.4 6.5 6.6
6.7 6.8 6.9
6.10 6.11 6.12
6.13 6.14 6.15
6.16 6.17 6.18
6.19 6.20 6.21
6.22 6.23 6.24
6.25 6.26 6.27
6.28 6.29 6.30

 

7 ң үұқ .

F(p) F(p)
7.1 7.2
7.3 7.4
7.5 7.6
7.7 7.8
7.9 7.10
7.11 7.12
7.13 7.14
7.15 7.16
7.17 7.18
7.19 7.20
7.21 7.22
7.23 7.24
7.25 7.26
7.27 7.28
7.29 7.30

 

8 қ ә қ ғ.

 

8.1 y"+y=6e-t, y(0)=3, y'(0)=1. 8.2 y "-y'=t2, y(0)= 0, y'(0)=1.
8.3 y"+y'=t2+2t, y(0)=0, y'(0)=-2.   8.4 y"-y=cos 3t, y(0)=1, y'(0)=1.
8.5 y "+y'+y=7e2t, y(0)=1, y'(0)=4. 8.6 y"+y'-2y=-2(t+1), y(0)=1,y'(0)=1.
8.7 y"-9y=sin t -cos t, y(0)=2, y'(0)=2.   8.8 y"+2y' = 2+et, y(0)=1, y'(0)=2.
8.9 2y"-y' = sin 3t, y(0)=2, y'(0)=1.   8.10 y"+2y'=sin t/2, y(0)=0,y'(0)=4.
8.11 8.13 y"-3y'+2y=et, y(0)=1,y'(0)=0. 8.12 8.14 2y"+3y'+y=3et, y(0)=0,y'(0)=1.
8.15 y"-2y'-3y=2t, y(0)=1,y'(0)=1. 8.16 y"+4y=sin 2t, y(0)=0,y'(0)=1.
8.17 2y"+5y'=29 cos t, y(0)=-1,y'(0)=0.   8.18 y"+y'+y=t2+t, y(0)=1, y'(0)=-3.
8.19 y"+4y=8 sin 2t, y(0)=3, y'(0)=-1.   8.20 y"-y'-6y=2, y(0)=1, y'(0)=0.
8.21 y"+4y=4e2t+4t2, y(0)=1, y'(0)=2.   8.22 y"+4y'+4y=t3e2t, y(0)=1, y'(0)=2.
8.23 y"-3y'+2y=12e3t, y(0)=2, y'(0)=6. 8.24 y"+4y=3 sin t+10 cos 3t, y(0)=-2, y'(0)=3.
8.25 y"+2y'+10y=2e-tcos 3t, y(0)=5, y'(0)=1 8.26 y"+3y'-10y=47 cos 3t-sin 3t, y(0)=3, y'(0)=-1.
8.27 y"+y=2 cos t, y(0)=0, y'(0)=1. 8.28 y"-2y'=et(t2+t-3), y(0)=2,y'(0)=2.  
  8.29 y"+y=2 cos t, y(0)=0, y'(0)=1.       8.30 y"-y=4 sin t +5 cos 2t, y(0)=-1, y'(0)=-2.  

 



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