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Revision history for TutoriumMathe3A9


Revision [73396]

Last edited on 2016-10-24 14:50:26 by Jorina Lossau
Additions:
2.4.1. F(s)=1/(s(s+1))
2.4.2. F(s)=(s+2)/((s-2)(s+3))
2.4.3. F(s)=s/((s+1)(s+2))^2
2.4.4. F(s)=s/((s+1)(s^2+2))
2.4.5. F(s)=(2s+3)/((s-1)(s^2+4s+29))
2.5.1. x..-4x.-5x=0; x(0)=1, x.(0)=-2
2.5.2. x..-4x.-5x=0; x(0)=0, x.(0)=0
2.5.3. x..-4x.-5x=3e^(2t); x(0)=0, x.(0)=0
2.5.4. x..-4x.-5x=sin(3t); x(0)=0, x.(0)=0
2.5.5. x.-4x.-5x=cos(4t); x(0)=0, x.(0)=0
2.5.6. x.-4x.-5x=7; x(0)=0, x.(0)=0
2.5.7. x..-4x.-5x=t^2; x(0)=0, x.(0)=0
2.5.8. x..-4x.+40x=sin(t); x(0)=0, x.(0)=0
2.5.9. y.+3y=2t+4e^(-t); y(0)=0, y.(0)=0
2.5.10. y.+3y=sin(2t); y(0)=1, y.(0)=0
2.5.11. y...+y..+y.-14y=t; y(0)=y.(0)=y..(0)=0
2.6.1. F(s)=1/(s^3+4s)
2.6.2. F(s)=1/((s+2)(s+3)^2)

Revision [73395]

Edited on 2016-10-24 14:24:39 by Jorina Lossau
Additions:
2.1.1. f(t)=4e^(-3t)
2.1.2. f(t)=1+2t+t^2
2.1.3. f(t)=(1+2t+t^2)e^(-2t)
2.1.4. f(t)=e^t+e^(-t)
2.1.5. f(t)=1/2(e^t-e^(-t))
2.1.6. f(t)=sin(2t)+3cos(2t)
2.1.7. f(t)=e^(-4t)[sin(2t)+3cos(2t)]
2.2.1. f(t)=
(0; t<0)
(2; 0<t<2π)
(2cos(3t), 2π<t)
2.2.2. f(t)=
(0, t<0)
(A, 0<t<3)
(Ae^(-t-3), 3<t)
2.3.1. F(s)=1/(s+2)
2.3.2. F(s)=5/(s+2)
2.3.3. F(s)=2/(s^2-4)
2.3.4. F(s)=2/(s^2+4)
2.3.5. F(s)=s/(s^2+4)
2.3.6. F(s)=s/(s^2-4)
2.3.7. F(s)=1/(s+2)^2
2.3.8. F(s)=s/(s+2)^2
2.3.9. F(s)=1/(s+5)^3
2.3.10. F(s)=s/(s+5)^3
3.11. F(s)=s^2/(s+5)^3
3.12. F(s)=1/(s^2+6s+13)
2.3.13. F(s)=s/(s^2+6s+13)
2.3.14. F(s)=(s+1)/(s^2+6s+13)

Revision [58742]

Edited on 2015-09-04 15:36:50 by Jorina Lossau
Deletions:
{{files}}

Revision [58741]

Edited on 2015-09-04 15:36:30 by Jorina Lossau
Additions:
{{image url="Laplace6.jpg" width="550" class="center"}}
Deletions:
{{image url="Laplace6.jpg" width="450" class="center"}}

Revision [58740]

Edited on 2015-09-04 15:35:59 by Jorina Lossau
Additions:
**Aufgabe 2.6**
Transformieren Sie in den Zeitbereich unter Verwendung der Faltungsregel!
{{image url="Laplace6.jpg" width="450" class="center"}}

Revision [58739]

Edited on 2015-09-04 15:26:28 by Jorina Lossau
Additions:
{{image url="Laplace5.jpg" width="450" class="center"}}
Deletions:
{{image url="Laplace5.jpg" width="500" class="center"}}

Revision [58738]

Edited on 2015-09-04 15:24:26 by Jorina Lossau
Additions:
{{image url="Laplace5.jpg" width="500" class="center"}}
Deletions:
{{image url="Laplace5.jpg" width="600" class="center"}}

Revision [58737]

Edited on 2015-09-04 15:22:31 by Jorina Lossau
Additions:
**Aufgabe 2.5**
Lösen Sie folgende Anfangswertaufgaben mit der Laplace-Transformation.
{{image url="Laplace5.jpg" width="600" class="center"}}

Revision [58736]

Edited on 2015-09-04 15:18:29 by Jorina Lossau
Additions:
**Aufgabe 2.4**
Führen Sie die Partialbruchzerlegung durch und transformieren Sie danach in den Zeitbereich.
{{image url="Laplace4.jpg" width="600" class="center"}}

Revision [58735]

Edited on 2015-09-04 14:48:59 by Jorina Lossau
Additions:
**Aufgabe 2.3**
Transformieren Sie mit der Tabelle der Laplace-Korrespondenzen vom Bild- in den Zeitbereich. Falls nötig, zerlegen Sie die Ausdrücke zunächst in Partialbrüche.
{{image url="Laplace3.jpg" width="600" class="center"}}

Revision [58734]

Edited on 2015-09-04 14:37:04 by Jorina Lossau
Additions:
{{image url="Laplace2.jpg" width="600" class="center"}}
Deletions:
{{image url="Laplace2.jpg" width="550" class="center"}}

Revision [58733]

Edited on 2015-09-04 14:21:57 by Jorina Lossau
Additions:
{{image url="Laplace2.jpg" width="550" class="center"}}

Revision [58653]

Edited on 2015-09-03 10:34:28 by Jorina Lossau
Additions:
**Aufgabe 2.2**
Berechnen Sie die Bildfunktion unter Verwendung des Integrals, welches die Laplace-Transformation definiert.

Revision [58652]

Edited on 2015-09-03 10:25:14 by Jorina Lossau
Additions:
{{image url="Laplace1.jpg" width="550" class="center"}}
Deletions:
{{image url="Laplace1.jpg" width="200" class="center"}}

Revision [58651]

Edited on 2015-09-03 10:24:14 by Jorina Lossau
Additions:
{{image url="Laplace1.jpg" width="200" class="center"}}

Revision [58648]

Edited on 2015-09-03 10:05:14 by Jorina Lossau
Additions:
Nachfolgend für t ≥ 0 definierte Funktionen haben für t < 0 den Funktionswert f(t) = 0. Transformieren Sie mit der Tabelle
in den Bildbereich der Laplace-Transformation!

Revision [58647]

Edited on 2015-09-03 10:00:46 by Jorina Lossau
Additions:
{{files}}
||**Aufgabe 2.1**
||
Deletions:
{{image url="Mathe3A101.jpg" width="600" class="center"}}
{{image url="Mathe3A102.jpg" width="600" class="center"}}
{{image url="Mathe3A103.jpg" width="600" class="center"}}

Revision [43690]

Edited on 2014-08-27 07:33:06 by Jorina Lossau
Deletions:
{{files}}

Revision [43689]

Edited on 2014-08-27 07:31:28 by Jorina Lossau
Additions:
||**{{files download="Mathe3A10.pdf"text="PDF Dokument Aufgaben Laplace - Transformation"}}**||
Deletions:
||**{{files download="Mathe3A10.pdf"text="PDF Dokument Aufgaben Laplace - Transformation}}**||

Revision [43688]

Edited on 2014-08-27 07:14:02 by Jorina Lossau
Additions:
{{image url="Mathe3A101.jpg" width="600" class="center"}}
{{image url="Mathe3A102.jpg" width="600" class="center"}}
{{image url="Mathe3A103.jpg" width="600" class="center"}}
||**{{files download="Mathe3A10.pdf"text="PDF Dokument Aufgaben Laplace - Transformation}}**||
Deletions:
{{image url="Mathe3A9.jpg" width="600" class="center"}}
||**{{files download="Mathe3A9.pdf"text="PDF Dokument Aufgaben Laplace - Transformation}}**||

Revision [43687]

Edited on 2014-08-27 07:09:00 by Jorina Lossau
Additions:
{{image url="Mathe3A9.jpg" width="600" class="center"}}
||**{{files download="Mathe3A9.pdf"text="PDF Dokument Aufgaben Laplace - Transformation}}**||

Revision [43686]

Edited on 2014-08-27 07:06:59 by Jorina Lossau
Additions:
{{files}}

Revision [43614]

The oldest known version of this page was created on 2014-08-26 00:53:48 by Jorina Lossau
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