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Дифференциальные уравнения. 19.3. x2 dy = (2xy+x2-y)dx
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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
.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 
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19.1. xy|+y = y2 ln x
19.2. (2x+1) y| = 4x+2y
19.3. x2 dy = (2xy+x2-y)dx
19.4. 2x (x2+y) dx = dy
19.5. xy|+(x+1)y = 3x2e-x
19.6. (x+y2)dy = ydx
19.7. (sin2y+x ctgy) y| = 1
19.8. (2x+y) dy = ydx+4 lny dy
19.9. xy dy = (y2+x) dx
19.10. y| x3 siny = xy|-2y
19.11. (xy+ex) dx-x dy = 0
19.12. y = x (y|-x cosx)
19.13. (xy|-1) lnx = 2y
19.14. 2ey-xy| = 1
19.15. xy2y| = x2+y3
19.16. xy|-2x2 
= 4y
19.17. 2y|- 
= 
19.18. (2x2y lny-x) y| = y
19.19. 2xy|-6y = -x2
19.20. y|+y cosx = sinx cosx
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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
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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
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21.13. a) y||+2y|+y = 0
b) y||-3y|+9y = x cosx
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37.13.
37.14. a) y-y||-y|+y = 0
b) y||-2y|-3y = e4x
37.15. a) y+8y||+16y| = 0
b) y||-y = 2ex-x2
37.16. a) y||+4y|+3y = 0
b) y||-3y|+2y = sinx
37.17. a) y||+y|-2y = 0
b) y||-5y| = 3x2+sin5x
37.18. a) y||-3y|+2y = 0
b) y||+y = x sinx
37.19. a) y||-5y|+4y = 0
b) y||-9y = e3x cosx
37.20. a) y||+2y|-3y = 0
b) y||+4y|+4y = xe2x
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Дата публикования: 2014-11-03; Прочитано: 954 | Нарушение авторского права страницы | Мы поможем в написании вашей работы!
