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IV. Differentialligninger – 2. 1. ordens ligninger 328 hvor C er arbitrœr og A(x) = a(x)dx 2.8. 1. ordens lineær ligning Sætning 24 - Bevis ☞ [LA] 14 Lineær differentialligning dy = a(x)y dx er separabel med løsninger dy y = a(x)dx ln |y| = A(x) + K y(x) = Ce A(x) 2.9. 1. ordens lineær ligning ☞ [LA] 14 Lineær differentialligning Sætning 25 Den generelle lineœre ligning dy = a(x)y + b(x) dx har fuldstœndig løsning y(x) = Ce A(x) + B(x)e A(x)
IV. Differentialligninger – 2. 1. ordens ligninger 329 hvor C er arbitrœr og A(x) = a(x)dx, B(x) = e −A(x) b(x)dx 2.10. 1. ordens lineær ligning ☞ [LA] 14 Lineær differentialligning Sætning 23, 25 - Bevis z(x) = e −A(x) y(x) opfylder ligningen som integreres til og forlænges til dz dx = e−A(x) b(x) z(x) = B(x) + C y(x) = Ce A(x) + B(x)e A(x) 2.11. 1. ordens lineær ligning ☞ [LA] 14 Lineær differentialligning Metode 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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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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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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