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IV. Differentialligninger – 1. Grafiske/numeriske metoder 312 1.2. Fri Vækst ☞ [S] 7.1 Modelling with differential equations Fri vækstmodel • t tid og P(t) kvantitet 1 Løsninger C fastlægges ved en begyndelsesværdi. dP dt = kP P(t) = Ce kt 1.3. Dæmpet vækst ☞ [S] 7.1 Modelling with differential equations Dæmpet vækstmodel • t tid og P(t) kvantitet 2 Løsninger • P ′ ≈ kP for P
IV. Differentialligninger – 1. Grafiske/numeriske metoder 313 Bevægelsesligning • t tid og x(t) udsving 3 Løsninger • x ′ hastighed • x ′′ = − k mx acceleration d2x k = − dt2 m x k x(t) = C1 cos( m t) + C2 k sin( m t) 1.5. Fjeder ☞ [S] 7.1 Modelling with differential equations Fjeder • t tid og x(t) udsving 3 Løsninger • x ′ hastighed • x ′′ = − k mx acceleration d2x k = − dt2 m x k x(t) = C1 cos( m t) + C2 k sin( m t)
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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 - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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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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VII. Skalarprodukt og projektion -
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VIII. Appendiks - 1. Polære koordi
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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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