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IV. Differentialligninger – 3. Generelle metoder 364 Eksempel 2 - fortsat I (R,W) = (r/b,k/a) er den lineære approximation for ( ¯ R, ¯ W) = (R − r/b,W − k/a) d ¯ R = −ar dt b ¯ W d ¯ W bk = dt a ¯ R som har en ustabil ligevægt. Man kan vise, at løsningskurverne t ↦→ (R(t),W(t)) for det oprindelig system er deformationer af cirkler omkring ligevægtspunktet. Der er altså en cyklisk udvikling i modellen.
1. Vektorer og matricer V Matricer 1.1. Oversigt ☞ [LA] 1, 2, 3, [S] 9.1-3 Nøgleord og begreber ✌ Talpar, taltripler og n-tupler ✌ Linearkombination og span ✌ Test linearkombination ✌ Hvad er en matrix ✌ Matrix multiplikation ✌ Test matrix multiplikation ✌ Standard vektorer ✌ Identitetsmatricen 365
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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I. Differentiation - 2. Partielle a
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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III. Potensrækker - 3. Potensrækk
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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V. Matricer - 3. Lineære ligninger
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V. Matricer - 3. Lineære ligninger
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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VI. Egenvektorer og diagonalisering
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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etningsafledede, 89, 102 retningsfe
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