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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