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1





17.1 xy|+1 = ey

17.2

17.3 (1+x2) y||-2xy| = 0

17.4 xy|+1 = ey

17.5

17.6

17.7

17.8

17.9.

17.10

17.11 y|-xy2 = 2xy

17.12 xy|+y = y2, y(1)=0,5

17.13

17.14 z| = 10x+z

17.15

17.16

17.17 2x2yy|+y2 = 2

17.18 y| ctgx+y = 2, y(0)=-1

17.19 y| sinx = y lny, y(p/2)=1

17.20 x2y| - cos2y = 1

 


 

18.1

18.2

18.3

18.4

18.5

18.6

18.7

18.8

 

18.9 ydx (x+y)dy = 0

18.10(y2-3x2)dx 2xydy = 0

18.11 (x2+2xy-y2)dx+(y2+2xy-x2)dy = 0

18.12

18.13 (y2-2xy)dx+x2dy = 0

18.14 y2+x2y| = xyy|

18.15(x2+y2)y| = 2xy

18.16 xy|-y=x

18.17

18.18

18.19

18.20



19.1 (2x+1) y| = 4x+2y

19.2 x2 dy = (2xy+x2-y)dx

19.3 2x (x2+y) dx = dy

19.4 xy|+(x+1)y = 3x2e-x

19.5 (x+y2)dy = ydx

19.6 (sin2y+x ctgy) y| = 1

19.7(2x+y) dy = ydx+4 lny dy

19.8 xy dy = (y2+x) dx

19.9 y| x3 siny = xy|-2y

19.10 (xy+ex) dx-x dy = 0

19.11 y = x (y|-x cosx)

19.12 (xy|-1) lnx = 2y

19.13 2ey-xy| = 1

19.14 xy2y| = x2+y3

19.15 xy|-2x2 = 4y

19.16 2y|- =

19.17 (2x2y lny-x) y| = y

19.18 2xy|-6y = -x2

19.19y|+y cosx = sinx cosx

19.20(x+1)y|=4x+2y



20.1 2xy| y|| = y|2-1

20.2 y|2+2yy|| = 0

20.3 yy||+1=y|2

20.4 y = 2(y||-1) ctgx

20.5 yy|| = y|2-y|3

20.6 2yy|| = y2+y|2

20.7 y||2+y| = xy||

20.8 y||+y|2=2e-y

20.9 y||2 = y|2+1

20.10 2y| (y||+2) = xy||2

20.11 y|2 = (3y-2y|) y||

20.12 y|| (2y|+x) = 1

20.13 (1-x2) y||+xy| = 2

20.14 yy||-2yy| lny = y|2

20.15 (y|+2y) y|| = y|2

20.16 xy|| = y|+x

20.17 yy||+y = y|2

20.18 2yy|3+y|| = 0

20.19 y|| (3y+4) 3y|2 = 0

20.20 2xy|y|| = y|2+1


 

 


21.1 a) y||+y|-2y = 0

b) y||+3y|-4y = e-4x+xe-x

21.2 a) y||-2y = 0

b) y||+2y|-3y = x2ex

21.3 a) y||-4y|+5y = 0

b) y||-4y|+8y = e2x+sin2x

21.4 a) y||+4y = 0

b) y||-2y|+y = 6xex

21.5 a) 4y||+4y|+y = 0

b) y||-y = 4shx

21.6 a) y-3y||+3y|-y = 0

b) y||+4y|+3y=chx

21.7 a) y-3y|+2y = 0

b) y||+2y|+2y = xe-x

21.8 a) y||+4y|+3y = 0

b) y||+y| = 2cosx+ex

21.9 a) 2y||-5y|+2y = 0

b) y||+y = 4sinx

21.10 a) y||+2y|+10y = 0

b) y||-3y|+2y = x cosx

21.11.a) y||-2y|+y = 0

b) y||+y = 4xex

21.12 a) y-6y||+9y| = 0

b) y||+y|-2y = 3xex

21.13 a) y||+2y|+y = 0

b) y||-3y|+9y = x cosx

21.14 a) y-y||-y|+y = 0

b) y||-2y|-3y = e4x

21.15 a) y+8y||+16y| = 0

b) y||-y = 2ex-x2

21.16 a) y||+4y|+3y = 0

b) y||-3y|+2y = sinx

21.17 a) y||+y|-2y = 0

b) y||-5y| = 3x2+sin5x

21.18 a) y||-3y|+2y = 0

b) y||+y = x sinx

21.19 a) y||-5y|+4y = 0

b) y||-9y = e3x cosx

221.20a) y||+2y|-3y = 0

b) y||+4y|+4y = xe2x



6

 

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