Revision history for TutoriumMathe3L6
Additions:
spezielle Lösung
Deletions:
Additions:
{{image url="LambdaL41.jpg" width="400" class="left"}}
Deletions:
Additions:
C1 + C3 = 20 (l)
-3C1 + C2 - C3 + 2C4 = 15 (II)
9C1 - 6C2 - 3C3 - 4C4 = 0 (III)
-27C1+ 27C2 + 11C3 - 2C4 = 0 (IV)
C1 = 725/16
C2 = 465/8
C3 = -405/16
C4 = 135/4
{{image url="LambdaL41.jpg" width="600" class="left"}}
-3C1 + C2 - C3 + 2C4 = 15 (II)
9C1 - 6C2 - 3C3 - 4C4 = 0 (III)
-27C1+ 27C2 + 11C3 - 2C4 = 0 (IV)
C1 = 725/16
C2 = 465/8
C3 = -405/16
C4 = 135/4
{{image url="LambdaL41.jpg" width="600" class="left"}}
Additions:
{{image url="LambdaL39.jpg" width="600" class="left"}}
{{image url="LambdaL40.jpg" width="600" class="left"}}
{{image url="LambdaL40.jpg" width="600" class="left"}}
Deletions:
{{image url="LambdaL40.jpg" width="550" class="left"}}
Additions:
{{image url="LambdaL40.jpg" width="550" class="left"}}
Additions:
{{image url="LambdaL39.jpg" width="550" class="left"}}
Deletions:
Additions:
{{image url="LambdaL39.jpg" width="350" class="left"}}
No Differences
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{{image url="LambdaL38.jpg" width="350" class="left"}}
Deletions:
Additions:
{{image url="LambdaL38.jpg" width="100" class="left"}}
Additions:
konj. kompl. Nullstelle:
{{image url="LambdaL37.jpg" width="100" class="left"}}
{{image url="LambdaL37.jpg" width="100" class="left"}}
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doppelte Nullstelle:
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{{image url="LambdaL35.jpg" width="100" class="left"}}
Deletions:
Deletions:
Additions:
{{image url="LambdaL36.jpg" width="250" class="left"}}
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{{image url="LambdaL35.jpg" width="250" class="left"}}
No Differences
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{{image url="LambdaL34.jpg" width="250" class="left"}}
Deletions:
Additions:
{{image url="LambdaL34.jpg" width="600" class="left"}}
Additions:
Lösung:
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{{image url="LambdaL33.jpg" width="600" class="left"}}
Deletions:
Additions:
{{image url="LambdaL33.jpg" width="300" class="left"}}
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= spezielle Lösung
---------------------------------------------------------------
**Aufgabe 1.3.8**
---------------------------------------------------------------
**Aufgabe 1.3.8**
Additions:
{{image url="LambdaL32.jpg" width="300" class="left"}}
Deletions:
Additions:
{{image url="LambdaL32.jpg" width="550" class="left"}}
Additions:
Gleichungssystem:
Ergebnis:
C1=5A/8
C2=3A/8
C3=-9A/8
Ergebnis:
C1=5A/8
C2=3A/8
C3=-9A/8
Additions:
{{image url="LambdaL31.jpg" width="550" class="left"}}
Additions:
{{image url="LambdaL30.jpg" width="550" class="left"}}
Deletions:
Additions:
{{image url="LambdaL30.jpg" width="300" class="left"}}
Additions:
allgemeine Lösung
Additions:
{{image url="LambdaL29.jpg" width="300" class="left"}}
Deletions:
Additions:
{{image url="LambdaL29.jpg" width="150" class="left"}}
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{{image url="LambdaL28.jpg" width="150" class="left"}}
Deletions:
No Differences
Additions:
{{image url="LambdaL28.jpg" width="200" class="left"}}
Additions:
{{image url="LambdaL27.jpg" width="200" class="left"}}
No Differences
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{{image url="LambdaL26.jpg" width="200" class="left"}}
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Additions:
{{image url="LambdaL26.jpg" width="450" class="left"}}
No Differences
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{{image url="LambdaL25.jpg" width="450" class="left"}}
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Additions:
{{image url="LambdaL25.jpg" width="350" class="left"}}
Additions:
-------------------
**1.3.7**
**1.3.7**
Additions:
{{image url="LambdaL24.jpg" width="350" class="left"}}
Deletions:
Additions:
{{image url="LambdaL24.jpg" width="200" class="left"}}
No Differences
Additions:
konjugiert komplexe Nullstellen
Additions:
{{image url="LambdaL23.jpg" width="200" class="left"}}
Deletions:
Additions:
{{image url="LambdaL23.jpg" width="300" class="left"}}
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{{image url="LambdaL22.jpg" width="300" class="left"}}
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Additions:
charakt. Gleichung
{{image url="LambdaL22.jpg" width="200" class="left"}}
{{image url="LambdaL22.jpg" width="200" class="left"}}
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{{image url="LambdaL21.jpg" width="200" class="left"}}
Deletions:
Additions:
**Aufgabe 1.3.6**
{{image url="LambdaL21.jpg" width="250" class="left"}}
{{image url="LambdaL21.jpg" width="250" class="left"}}
Additions:
{{image url="LabdaL20.jpg" width="250" class="left"}}
Deletions:
Additions:
{{image url="LambdaL20.jpg" width="150" class="left"}}
Additions:
doppelte Nullstelle
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{{image url="LambdaL19.jpg" width="150" class="left"}}
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Additions:
{{image url="LambdaL19.jpg" width="200" class="left"}}
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{{image url="LambdaL18.jpg" width="200" class="left"}}
Deletions:
Additions:
{{image url="LambdaL18jpg" width="200" class="left"}}
Additions:
Horner-Schema:
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{{image url="LambdaL17.jpg" width="200" class="left"}}
Deletions:
No Differences
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{{image url="LambdaL17.jpg" width="250" class="left"}}
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{{image url="LambdaL16.jpg" width="250" class="left"}}
Deletions:
Additions:
{{image url="LambdaL16jpg" width="300" class="left"}}
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-------------------------------------------
**Aufgabe 1.3.5**
**Aufgabe 1.3.5**
Additions:
(spezielle Lösung)
Additions:
{{image url="LambdaL15.jpg" width="300" class="left"}}
Deletions:
Additions:
{{image url="LambdaL15.jpg" width="600" class="left"}}
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{{image url="LambdaL14.jpg" width="600" class="left"}}
Deletions:
Additions:
(allgemeine Lösung)
{{image url="LambdaL14.jpg" width="450" class="left"}}
{{image url="LambdaL14.jpg" width="450" class="left"}}
Additions:
{{image url="LambdaL13.jpg" width="300" class="left"}}
Deletions:
Additions:
{{image url="LambdaL13.jpg" width="450" class="left"}}
No Differences
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{{image url="LambdaL12.jpg" width="450" class="left"}}
Deletions:
Additions:
{{image url="LambdaL12.jpg" width="350" class="left"}}
Additions:
{{image url="LambdaL11.jpg" width="350" class="left"}}
Deletions:
Additions:
{{image url="LambdaL11.jpg" width="200" class="left"}}
Additions:
--------------------------------------------
**Aufgabe 1.3.4**
**Aufgabe 1.3.4**
Additions:
{{image url="LambdaL10.jpg" width="200" class="left"}}
Deletions:
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{{image url="LambdaL10.jpg" width="350" class="left"}}
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{{image url="LambdaL9.jpg" width="350" class="left"}}
Deletions:
Additions:
{{image url="LambdaL9.jpg" width="150" class="left"}}
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{{image url="LambdaL8.jpg" width="150" class="left"}}
Deletions:
Additions:
{{image url="LambdaL8.jpg" width="200" class="left"}}
Additions:
y(0) = 1 --> 1 = C1 + 0* C2; C1 = 1
y'(0) = 2 --> 2 = 2* 1 + C2; C2 = 0
y = e^(2x) (spezielle Lösung)
------------------------------
**Aufgabe 1.3.3**
y'(0) = 2 --> 2 = 2* 1 + C2; C2 = 0
y = e^(2x) (spezielle Lösung)
------------------------------
**Aufgabe 1.3.3**
Additions:
{{image url="LambdaL7.jpg" width="200" class="left"}}
Deletions:
Additions:
spezielle Lösung:
{{image url="LambdaL7.jpg" width="150" class="left"}}
{{image url="LambdaL7.jpg" width="150" class="left"}}
Additions:
{{image url="LambdaL6.jpg" width="150" class="left"}}
Deletions:
Additions:
{{image url="LambdaL6.jpg" width="300" class="left"}}
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{{image url="LambdaL5.jpg" width="300" class="left"}}
Deletions:
Additions:
**Lösung**
{{image url="LambdaL5.jpg" width="350" class="left"}}
{{image url="LambdaL5.jpg" width="350" class="left"}}
Additions:
{{image url="LambdaL4.jpg" width="350" class="left"}}
Deletions:
Additions:
-----------------------------------------------------------
**Aufgabe 1.3.2**
{{image url="LambdaL4.jpg" width="150" class="left"}}
**Aufgabe 1.3.2**
{{image url="LambdaL4.jpg" width="150" class="left"}}
Additions:
charakt. Gleichung:
{{image url="LambdaL3.jpg" width="150" class="left"}}
{{image url="LambdaL3.jpg" width="150" class="left"}}
Deletions:
{{image url="LambdaL3.jpg" width="250" class="left"}}
Additions:
allgemeine Lösung:
{{image url="LambdaL3.jpg" width="250" class="left"}}
{{image url="LambdaL3.jpg" width="250" class="left"}}
Additions:
**charakt. Gleichung:**
{{image url="LambdaL2.jpg" width="250" class="left"}}
{{image url="LambdaL2.jpg" width="250" class="left"}}
Deletions:
{{image url="LambdaL2.jpg" width="150" class="left"}}
Additions:
**Lösung:**
charakt. Gleichung:
{{image url="LambdaL2.jpg" width="150" class="left"}}
charakt. Gleichung:
{{image url="LambdaL2.jpg" width="150" class="left"}}
Additions:
{{image url="LambdaL1.jpg" width="150" class="left"}}
Deletions:
Additions:
{{files}}
Additions:
**Aufgabe 1.3.1**
Additions:
||**1.3** Lösen Sie die folgenden linearen homogenen Differentialgleichungen mit konstanten Koeffizienten mittels der charakteristischen Gleichung.
{{image url="LambdaL1.jpg" width="650" class="center"}}
||
{{image url="LambdaL1.jpg" width="650" class="center"}}
||
Deletions:
{{image url="Mathe3L62.jpg" width="650" class="center"}}
{{image url="Mathe3L63.jpg" width="650" class="center"}}
{{image url="Mathe3L64.jpg" width="650" class="center"}}
{{image url="Mathe3L65.jpg" width="650" class="center"}}
Additions:
{{image url="Mathe3L61.jpg" width="650" class="center"}}
{{image url="Mathe3L62.jpg" width="650" class="center"}}
{{image url="Mathe3L63.jpg" width="650" class="center"}}
{{image url="Mathe3L64.jpg" width="650" class="center"}}
{{image url="Mathe3L65.jpg" width="650" class="center"}}
{{image url="Mathe3L62.jpg" width="650" class="center"}}
{{image url="Mathe3L63.jpg" width="650" class="center"}}
{{image url="Mathe3L64.jpg" width="650" class="center"}}
{{image url="Mathe3L65.jpg" width="650" class="center"}}
Deletions:
{{image url="Mathe3L62.jpg" width="600" class="center"}}
{{image url="Mathe3L63.jpg" width="600" class="center"}}
{{image url="Mathe3L64.jpg" width="600" class="center"}}
{{image url="Mathe3L65.jpg" width="600" class="center"}}
Additions:
{{image url="Mathe3L62.jpg" width="600" class="center"}}
{{image url="Mathe3L63.jpg" width="600" class="center"}}
{{image url="Mathe3L64.jpg" width="600" class="center"}}
{{image url="Mathe3L65.jpg" width="600" class="center"}}
{{image url="Mathe3L63.jpg" width="600" class="center"}}
{{image url="Mathe3L64.jpg" width="600" class="center"}}
{{image url="Mathe3L65.jpg" width="600" class="center"}}