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Forum Maschinenbau Rostock • Thema anzeigen - 39.2

39.2

39.2

Beitragvon Majan » Mo 3. Jan 2011, 18:34

Hier hab ich y=6e^(-0.25x) + e^(0.5x) + 2x -7
Majan
 
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Re: 39.2

Beitragvon HayTxa » Mo 3. Jan 2011, 22:35

HayTxa
 
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Registriert: Sa 16. Jan 2010, 18:04

Re: 39.2

Beitragvon Gunnar » Sa 8. Jan 2011, 10:33

Wie kommt man denn auf das c_2 = 1? Die Lösung habe ich ansonsten auch so.


Hab den Fehler gefunden.Alles klar.
Zuletzt geändert von Gunnar am Sa 8. Jan 2011, 15:25, insgesamt 1-mal geändert.
Gunnar
 
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Registriert: So 25. Okt 2009, 13:10
Wohnort: Rostock Groß-Klein

Re: 39.2

Beitragvon sarotti » Sa 8. Jan 2011, 14:56

Moin Moin, auf das FS mit e^(-0,5x) und e^(-0,25x) bin ich auch gekommen, wenn ich eure Lösung mit y = c1*e^(-0.5x) + c2*e^(-0.25) + 2x - 7 komme ich auch auf c1=1 und C2=6. Soweit alles klar. Leider habe ich meinen Hefter nicht hier zuhause. Wie kommt ihr auf das 2x -7 durch die inhomogenität?
Leider schaff ich das ohne den hefter nicht. Wäre echt nett wenn ihr mir das einmal erklären würdet.

Danke schonmal
sarotti
 
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Registriert: So 2. Mai 2010, 19:39

Re: 39.2

Beitragvon MB_Horst » So 9. Jan 2011, 12:49

Du kannst auf die Partikulärlösung durch die Formel y=sum(yi...) kommen, was hier sehr umständlich ist.

Alternativ mit dem Ansatz: yp=c0+c1*x

-> ableiten und in dgl -> koeffizientvergl.
MB_Horst
 
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