Page 168 - index

ɛɨɥɚɞɵ ɠԥɧɟ ɧԛɤɬɟ ԕɨɡԑɚɥɵɫɵɧɵԙ ɧɟɝɿɡɝɿ ɡɚԙɵɧɵԙ ɞɟɤɚɪɚɬɬɵԕ ɤɨɨɪɞɢɧɚɬɬɚɪ
ɨɫɶɬɟɪɿɧɞɟɝɿ ɩɪɨɟɤɰɢɹɥɚɪɵɧɵԙ (7) ɬɟԙɞɟɭɥɟɪɿ

mx Fx (t, x, y, z, x, y, z),

my Fy (t, x, y, z, x, y, z),

mz Fz (t, x, y, z, x, y, z)

ɬԛɪɿɧɞɟ ɠɚɡɵɥɚɞɵ.

ɇԛɤɬɟ ԕɨɡԑɚɥɵɫɵɧɵԙ ɤɢɧɟɦɚɬɢɤɚɥɵԕ ɬɟԙɞɟɭɥɟɪɿɧ ɚɧɵԕɬɚɭ ԛɲɿɧ ɚɥɵɧԑɚɧ
ɟɤɿɧɲɿ ɞԥɪɟɠɟɥɿ ԛɲ ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɥɟɪɞɿ ɢɧɬɟɝɪɚɥɞɚɭ ɤɟɪɟɤ.
Ɉɫɵɧɵԙ ɧԥɬɢɠɟɫɿɧɞɟ, ɢɧɬɟɝɪɚɥɞɚɭɞɵԙ ɚɥɬɵ ɬԝɪɚԕɬɵɥɚɪɵ ɛɚɪ ɠɚɥɩɵ ɲɟɲɿɦ
ɚɥɵɧɚɞɵ:

x f1 (t, C1, C2 , C3 , C4 , C5 , C6 ),

y f 2 (t, C1, C2 , C3 , C4 , C5 , C6 ),

z f3 (t, C1, C2 , C3 , C4 , C5 , C6 ).
Ȼɟɥɝɿɥɿ ɛɿɪ ɬɪɚɟɤɬɨɪɢɹɧɵ ɬɚԙɞɚɩ ɚɥɭ ԛɲɿɧ ɢɧɬɟɝɪɚɥɞɚɭɞɵԙ ɬԝ-
ɪɚԕɬɵɥɚɪɵɧɚ ɧɚԕɬɵ ɦɚԑɵɧɚɥɚɪ ɛɟɪɭ ɤɟɪɟɤ. Ɉɥɚɪɞɵ ɛɚɫɬɚɩԕɵ ɲɚɪɬɬɚɪ
ɚɪԕɵɥɵ ɬɚɛɭԑɚ ɛɨɥɚɞɵ.
ȿɝɟɪ ɧԛɤɬɟɧɿԙ ɠɚɡɵԕɬɵԕɬɚԑɵ ԕɨɡԑɚɥɵɫɵ ɬɭɪɚɥɵ ɟɫɟɩ ԕɚɪɚɫɬɵɪɵɥɫɚ, ɨɧɞɚ
ɟɤɿ ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɥɟɪɞɿ ɲɟɲɭ ɤɟɪɟɤ, ɨɥ ɬɟԙɞɟɭɥɟɪ:

mx Fx (t, x, y, x, y),

my Fy (t, x, y, x, y).

Ɉɫɵɧɵԙ ɧԥɬɢɠɟɫɿɧɞɟ, ɢɧɬɟɝɪɚɥɞɚɭɞɵԙ ɬԧɪɬ ɬԝɪɚԕɬɵɥɚɪɵ ɛɚɪ ɠɚɥɩɵ

ɲɟɲɿɦ ɚɥɵɧɚɞɵ

x f1 (t, C1, C2 , C3 , C4 ),

y f 2 (t, C1, C2 , C3 , C4 ).

ȿɝɟɪ ɧԛɤɬɟɧɿԙ ɬԛɡɭɫɵɡɵԕ ɛɨɣɵɧɞɚԑɵ ԕɨɡԑɚɥɵɫɵ ɬɭɪɚɥɵ ɟɫɟɩ
ԕɚɪɚɫɬɵɪɵɥɫɚ, ɨɧɞɚ ɛɿɪ ԑɚɧɚ ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɞɿ ɲɟɲɭ ɤɟɪɟɤ, ɨɥ
ɬɟԙɞɟɭ:

mx Fx (t, x).

Ɉɫɵɧɵԙ ɧԥɬɢɠɟɫɿɧɞɟ, ɢɧɬɟɝɪɚɥɞɚɭɞɵԙ ɟɤɿ ɬԝɪɚԕɬɵɥɚɪɵ ɛɚɪ ɠɚɥɩɵ ɲɟɲɿɦ
ɚɥɵɧɚɞɵ:

x f1 (t, C1,C2 ).
ɋɨɧɵɦɟɧ, ɞɢɮɮɟɪɟɧɰɢɚɥɞɵԕ ɬɟԙɞɟɭɥɟɪɞɿ ɲɟɲɭ ɧԥɬɢɠɟɫɿɧɞɟ ɛɿɪɧɟɲɟ
ɲɟɲɿɦɞɟɪ ɚɥɚɬɵɧ ɛɨɥɞɵԕ, ɚɬɚɩ ɚɣɬԕɚɧɞɚ, ɟɝɟɪ ɧԛɤɬɟ ɤɟԙɿɫɬɿɤɬɟ ԕɨɡԑɚɥɚɬɵɧ
ɛɨɥɫɚ ɬɪɚɟɤɬɨɪɢɹɥɚɪ ɚɥɬɵ ɩɚɪɚɦɟɬɪɝɟ; ɠɚɡɵԕɬɵԕɬɚ ԕɨɡԑɚɥɫɚ – ɬԧɪɬ, ɚɥ
ɫɵɡɵԕɬɵԕ ԕɨɡԑɚɥɵɫɬɚ – ɟɤɿ ɩɚɪɚɦɟɬɪɝɟ ɬԥɭɟɥɞɿ ɛɨɥɚɞɵ. ȿɫɟɩ ɬɨɥɵԑɵɦɟɧ
ɲɟɲɿɥɭ ԛɲɿɧ ɚɬɚɥԑɚɧ ɢɧɬɟɝɪɚɥɞɚɭ ɬԝɪɚԕɬɵɥɚɪɵɧ – ɩɚɪɚɦɟɬɪɥɟɪɞɿ ɬɚɛɭ
ɤɟɪɟɤ, ɚɥ ɨɥɚɪ ɛɚɫɬɚɩΙɵ ɲɚɪɬɬɚɪɞɚɧ ɚɧɵԕɬɚɥɚɞɵ.
ɇԛɤɬɟ ɞɢɧɚɦɢɤɚɫɵɧɵԙ ɟɫɟɩɬɟɪɿɧ ɲɵԑɚɪɭɞɵԙ ɚɥɝɨɪɢɬɦɿ:

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