I Flashcards

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
Q

linearna dif. jed. n-tog reda

26
Q

teorema o linearnosti dif jed ntog reda

27
Q

linearno nezavisne funkcije

28
Q

Determinanta Vronskog

29
Q

linearna nezavisnost rjesenja homogene dif jed ntog reda

30
Q

fundamentalni sistem rjesenja homogene lin dif jed ntog reda

31
Q

nehomogena linearna dif jed ntog reda + opste rjesenje

32
Q

lagranzova metoda variajcije konstanti

33
Q

hom dif jed ntog reda sa konstantim koeficijentima

34
Q

hom lin dif jed ntog reda sa const, koef - korjeni realni i razliciti

35
Q

hom dif jed ntog reda sa const. koef - kompleksni k

36
Q

hom dif jed ntog reda sa const. koef - ima visestrukih k

37
Q

nehom dif jed ntog reda sa const. koef

38
Q

sistem diferencijalnih jednacina - normalni, skalarni, vektorski, simetricni i opstiji oblik

39
Q

rjesenje sistema diferencijalnih jednacina

40
Q

jedinstvenost rjesenja za sistem dif jed

41
Q

svodjenje dif jed ntog reda na n dif jed I reda

42
Q

Opste i partikularno rjesenje sistema dif jed

43
Q

integral sistema dif jed

44
Q

teorema o potrebnom i dovoljom uslovu za integral sistema

45
Q

prvi integral sistema

46
Q

sistemi dif jed viseg reda - svodjenje na sistem dif jed I reda

47
Q

(nezavisnost funckija u D) + (nezavisnost prvih integrala)