Задание 5

1

16

2

17

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5

20

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30

1

11

21

2

12

22

3

13

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4

14

24

5

15

25

6

16

26

7

17

27

8

18

28

9

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29

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30

1

16

(x²-3)y'=3-4y

2

sin²x(2-y²)+y'=0

17

(x²-2)y'=4+y²

3

сos²4y+(5-x²)y'=0

18

4

cos²x+e^2yy'=0

19

y²+y'

5

(3-y²) +y'=0

20

ylnye^2x+y'=0

6

=0

21

sin²2x(2-y²)=y'

7

y³+(x²-4)y'=0

22

xe^2x(5-y²)=y'

8

y'sin3ye^2x+x=0

23

1=y'(3-x²)sin2y

9

y²+e^2xy'=2

24

e^xy'=1-y²

10

y'(x²-5)=2y+1

25

(3-x²)y'-9=y²

11

y'lny+x²=7

26

yy'=e^yx

12

y'lnxx+y²=3

27

x

13

y'

28

(1+e^x)y'=y e^x

14

29

2x+2xy²+

15

y'cos²2x=2-y²

30

yy'

1

xy'-2y-2x⁴=0, y(1)=2

16

2

y' -y=e^3x x, y(0)=5

17

y'-y cos2x=cos2xe^(1/2)sin2x, y(0)=1

3

18

4

19

5

y'+2(tg2x)y=sin4x, y(0)=1

20

6

y'-2xy=x³, y(0)=1

21

7

22

8

23

y'-5y=x, y(0)=1

9

24

y'-2(ctgx)y=1, y(/4)=0

10

25

y'+2(tgx)y=1, y(/4)=3

11

y'-y cosx=cosx e^sinx , y(0)=3

26

12

27

y'-y sinx= sin2x, y(1)=1

13

y'-y sin2x=sin2x e^-(1/2)cos2x, y(0)= 0

28

y'+y cosx= e^-sinx, y(1)=-1

14

y'+2xy=-2x³,  y(1)=

29

y'+ , y(1)=1

15

30