Учебное пособие 800365
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A B = B A.
G = [{x1 , x2 , x3 , x4 }, {(x4 , x2 ), (x1 , x3 ), (x3 , x4 ), (x3 , x1 ), (x2 , x3 ),
(x4, x1), (x4, x4)}].
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {b, c}, {a, b}, {b}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = −2t2 + 4, a = −1, b = 1.
. / # # f (x, y) + # * F (x, y) = 0
f (x, y) = xy, F (x, y) = 13x + 5y.
0 / * # *
1
(3(y )2 − 4y + 5)dx, y(0) = 0, y(1) = 4.
0
(A B) B = A.
G= [{e, f , g}, {(g, f ), (f , e), (f , f ), (g, e), (f , e), (g, g), (e, f )}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {a}, {a, b}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = 2 cos t, a = −π/4, b = π/4.
. / # # f (x, y) + # * F (x, y) = 0
F (x, y) = 10x − 114 y − 1.
(x1/10(y )2 − 4y )dx, y(0) = 0, y(1) = 1.
A = A.
G= [{a, b, c}, {(b, b), (a, b), (b, a), (c, b), (b, c), (c, b), (c, a)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {b}, {a, c}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = 2 sin t − 1, a = 0, b = π.
. / # # f (x, y) + # * F (x, y) = 0
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f (x, y) = xy, F (x, y) = 10x − |
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(x4(y )2 − y )dx, y(1) = 1, y(2) = 3. |
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A A = .
G = [{d, e, f , g}, {(d, f ), (d, e), (g, f ), (d, e), (d, g),
(e, e), (f, g)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {a}, {b, c}, {a, c}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = −t3 + 12t, a = −3, b = 3.
. / # # f (x, y) + # * F (x, y) = 0
f (x, y) = xy, F (x, y) = 10x − |
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y. |
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0 / * # *
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(−(y )2 + 3y)dx, y(0) = 0, y(1) = 1.
0
(A B) C = A (B C).
G = [{x1 , x2 , x3 , x4 }, {(x2 , x2 ), (x3 , x1 ), (x2 , x4 ), (x4 , x1 ), (x2 , x3 ),
(x4, x1), (x3, x4)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {a}, {a, b}, {a, c}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = −t2 + 4, a = −1, b = 1.
. / # # f (x, y) + # * F (x, y) = 0
f (x, y) = xy, F (x, y) = |
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x + 7y. |
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0 / * # *
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(−ey + xy)dx, y(1) = 0, y(e) = 1.
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A B = (A B)\(A ∩ B).
G= [{b, c, d}, {(b, c), (d, b), (c, d), (b, b), (b, c), (c, d), (d, c)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , {a, b, c}} + * ,
- " # + ( C[a, b] L2[a, b] x(t) = −12t3 + t, a = −1, b = 1.
. / # # f (x, y) + # * F (x, y) = 0
F (x, y) = 4x + 135 y − 1.
((y )2 + y2 + 2exy)dx, y(0) = 0, y(1) = 1.
A B = (A B) (A ∩ B).
G = [{x1 , x2 , x3 }, {(x2 , x3 ), (x1 , x2 ), (x2 , x2 ),
(x1, x3), (x2, x1), (x3, x3)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = {{a}, {b, c}, {a, b}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = −t2 + 6, a = −1, b = 1.
. / # # f (x, y) + # * F (x, y) = 0
f (x, y) = xy, |
F (x, y) = 4x + |
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0 / * # * |
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1 x1/2(y )2dx, |
y(0) = 0, y(1) = 1. |
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(B\A) (C\A) = (A B) (A C).
G = [{a, b, c, d}, {(a, b), (d, b), (a, c), (c, b), (d, d),
(c, a), (d, a)}].
A = |
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! "# X = {a, b, c} $ % &' ( a, b c. *& & * τ = { , X, {b}, {c}, {b, c}} + * ,
- " # + ( C[a, b] L2[a, b]
x(t) = −t2 + 2t, a = 0, b = 2.
. / # # f (x, y) + # * F (x, y) = 0
f (x, y) = x2 + y2, F (x, y) = 9x + 15y − 1.
0 / * # *
1
((y )2 − 6y)dx, y(0) = 0, y(1) = 1.
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