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IX. Opgaver – 1. August 2002 546 fuldstændig løsning y(x) = Ce A(x) + B(x)e A(x) = Ce −2x + ( 1 2 x2 + 3 2 e2x )e −2x = Ce −2x + 1 2 x2 e −2x + 3 2 1.37. Løs differentialligning ☞ Matematik Alfa 1, August 2002 Opgave 7 - retningsfelt y 1 0 1 x
IX. Opgaver – 1. August 2002 547 I punktet (x,y) tegnes et kort linjestykke med hældning y ′ (x) = −2y + xe −2x + 3. 1.38. Løs differentialligning ☞ Matematik Alfa 1, August 2002 Opgave 7 - løsning I den partikulære løsning bestemmes C ved y(0) = 2. I alt er løsningen y(0) = Ce 0 + 3 = 2 2 y(x) = 1 2 e−2x + 1 2 x2e −2x + 3 2 1.39. Løs differentialligning ☞ Matematik Alfa 1, August 2002 Opgave 7 - figur
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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 - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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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 - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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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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IV. Differentialligninger - 1. Graf
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IV. Differentialligninger - 2. 1. o
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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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IX. Opgaver - 5. Januar 2005 598 De
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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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