Практикум по численным методам для студентов второго курса. Часть 1-11. Андронов И.В - 138 стр.

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˙x
1
= (x
2
+ x
3
), ˙x
2
= x
1
+ ax
2
, ˙x
3
= b + x
1
x
3
cx
3
a =0.17 b =0.4 c =8.5
x y + x =1
˙x +4˙y +3x =0
x(0) = 0,y(0) = 0
˙x x 2y = t
˙y 2x y = t
x(0) = 2,y(0) = 4
x ˙x +9x ¨y ˙y 3y =0,x(0) = 1, ˙x(0) = 1
x x +7x ¨y y 5y =0,y(0) = 0, ˙y(0) = 0
¨y y 2y = e
t
,y(0) = 1, ˙y(0) = 0
¨x x + y + z =0,x(0) = 1, ˙x(0) = 0
¨y y + x + z =0,y(0) = 0, ˙y(0) = 0
¨z z + x + y =0,z(0) = 0, ˙z(0) = 0
y
(4)
+ y
(3)
=cost, y(0) = 0, ˙y(0) = 0, ¨y(0) = 0,y
(3)
(0) = 2