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Ïîëíàÿ âåðñèÿ: y'=a(t)y+f(t) è ó"+y=f(t) > Äèôôåðåíöèàëüíûå óðàâíåíèÿ
Îáðàçîâàòåëüíûé ñòóäåí÷åñêèé ôîðóì > Âûñøàÿ ìàòåìàòèêà > Äèôôåðåíöèàëüíûå óðàâíåíèÿ
Ìàðè13
 ïåðâîì ïðèìåíÿÿ ìåòîä âàðèàöèè ïîñòîÿííîé, âî âòîðîì ìàòðèöû è âåêòîðà
tig81
Ïðàâèëà ôîðóìà
Âàøè èäåè, íàðàáîòêè ãäå?
Ìàðè13
ïî 1 ñíà÷àëà f(t)òîæä.ðàâåí 0,
ïî 2 V(t)=[ y(t) y'(t) ],
V(t)=[ V1(t) V2(t) ],
d\dt(V1(t)) òîæä. ðàâåí V2(t),
d\dt(V2(t)) òîæä.ðàâåí -V1(t)+ f(t),
V1"(t) òîæä.ðàâåí -V1(t)+f(t),
V1"+V1=f(t),
äàëüøå òðåáóåòñÿ íàéòè V1(t)
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