I Flashcards

(47 cards)

1
Q

Definisi dif jed prvog reda

A

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2
Q

Rjesenje i opste rjesenje dif jed prvog reda

A

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3
Q

Partikularno rjesenje

A

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4
Q

Opsti i partikularni integral dif jed prvog reda

A

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5
Q

Singularno rjesenje

A

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6
Q

Kosijev problem za dif jed prvog reda

A

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7
Q

Teorema o egzistenciji i jedinstvenosti rjesenja dif jed prvog reda

A

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8
Q

Jednacina koja razdvaja promjenljive

A

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9
Q

Homogena dif jed i svodjenje na rp

A

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10
Q

Jednacina koja se svodi na homogenu

A

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11
Q

Linearna dif jed prvog reda i opste rjesenje

A

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12
Q

Bernulijeva i rakitijeva jed

A

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13
Q

Jednacina sa totalnim diferencijalom

A

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14
Q

Delta p kroz delta y… teorema o tot dif jed

A

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15
Q

Integracioni faktor

A

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16
Q

Diferencijalna jednacina n-tog reda

A

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17
Q

Rjesenje i opste rjesenje dif. jed. n-tog reda

A

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18
Q

partikularno rjesenje dif jed n-tog reda

A

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19
Q

opsti i partikularni integral dif jed ntog reda

20
Q

kosijev problem za dif fjed n-tog reda

21
Q

teorema o egzistenciji rjesenja za dif jed ntog reda

22
Q

snizavanje reda - nema y

23
Q

snizavanje reda - nema x

24
Q

snizavanje reda - homogena

25
linearna dif. jed. n-tog reda
.
26
teorema o linearnosti dif jed ntog reda
.
27
linearno nezavisne funkcije
.
28
Determinanta Vronskog
.
29
linearna nezavisnost rjesenja homogene dif jed ntog reda
.
30
fundamentalni sistem rjesenja homogene lin dif jed ntog reda
.
31
nehomogena linearna dif jed ntog reda + opste rjesenje
.
32
lagranzova metoda variajcije konstanti
.
33
hom dif jed ntog reda sa konstantim koeficijentima
.
34
hom lin dif jed ntog reda sa const, koef - korjeni realni i razliciti
.
35
hom dif jed ntog reda sa const. koef - kompleksni k
.
36
hom dif jed ntog reda sa const. koef - ima visestrukih k
.
37
nehom dif jed ntog reda sa const. koef
.
38
sistem diferencijalnih jednacina - normalni, skalarni, vektorski, simetricni i opstiji oblik
.
39
rjesenje sistema diferencijalnih jednacina
.
40
jedinstvenost rjesenja za sistem dif jed
.
41
svodjenje dif jed ntog reda na n dif jed I reda
.
42
Opste i partikularno rjesenje sistema dif jed
.
43
integral sistema dif jed
.
44
teorema o potrebnom i dovoljom uslovu za integral sistema
.
45
prvi integral sistema
.
46
sistemi dif jed viseg reda - svodjenje na sistem dif jed I reda
.
47
(nezavisnost funckija u D) + (nezavisnost prvih integrala)
.