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IV. Differentialligninger – 2. 1. ordens ligninger 324 A fastlægges ved y(0) = Ae 0 = A 1.24. 1. ordens ligning ☞ [S] 7.4 Exponential growth and decay 2 Sætning Løsningen til begyndelsesværdiproblemet er givet ved 2. 1. ordens ligninger dy dt = ky y(0) = y0 y(t) = y0e kt 2.1. Oversigt ☞ [S] 7.3, 7.4, 7.5, 7.6; [LA] 14, 15 Nøgleord og begreber ✌ Separable ligninger ✌ 1. ordens lineær ligning ✌ August 2002, opgave 7 ✌ Rovdyr-Byttedyr system
IV. Differentialligninger – 2. 1. ordens ligninger 325 ✌ 1. ordens lineært system ✌ Opgave 2.2. Separabel ligning ☞ [S] 7.3 Separable equations Definition En 1. ordens differentialligning 1 kaldes separabel. Løsning Integration 2 Fastlægger løsninger optil en konstant. dy = g(x)f(y) dx dy f(y) = g(x)dx 2.3. 1. ordens lineær ligning ☞ [LA] 14 Lineær differentialligning Definition 1 Den lineœre 1. ordens differentialligning er dy = a(x)y + b(x) dx
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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 - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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III. Potensrækker - 2. Talfølger
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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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VIII. Appendiks - 1. Polære koordi
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IX. Opgaver - 1. August 2002 524 1.
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IX. Opgaver - 5. Januar 2005 600 Gr
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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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