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Gewhnliche Differentialgl eichungen: Analytische und numerische Behandlung by W.
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Located in: Fairfield, Ohio, United States
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eBay item number:386659328516
Item specifics
- Condition
- ISBN-13
- 9783528044206
- Book Title
- Gewöhnliche Differentialgleichungen
- ISBN
- 9783528044206
- Book Series
- Rechnerorientierte Ingenieurmathematik Ser.
- Item Length
- 9.6 in
- Original Language
- German
- Publisher
- Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft Mbh
- Publication Year
- 1987
- Type
- Textbook
- Format
- Trade Paperback
- Language
- German
- Illustrator
- Yes
- Item Height
- 0.4 in
- Genre
- Technology & Engineering
- Topic
- General
- Item Width
- 6.7 in
- Item Weight
- 30.2 Oz
- Number of Pages
- Xii, 422 Pages
About this product
Product Information
Zu Beginn wollen wir erkHiren, was wir unter einer gewohnlichen Differential gleichung und ihren Losungen verstehen, und dabei einfache mathematische Modelle zu Problem en aus den Naturwissenschaften angeben, die auf Differentialgleichungen fUhren. 1.1 Stammfunktion und Fliicheninhalt Wir wollen den Flacheninhalt I AI der in Bild 1.1 angegebenen Flache A zwischen x-Achse und Graph der Funktion f: [a, b] ~ R+, 1R+ := {x E R I x> O}, berechnen. Es geht darum, eine Stammfunktion y zu f zu ermitteln mit y' = f, also die Gleichungen y'(x) = f(x) oder y' (x) - f (x) = 0 zu losen. Der Flacheninhalt ergibt sich dann zu I AI = y (b) - y (a) . f (x) A Bild 1.1 Q b x Beispiel. n Gegeben: f (x) = x , n = 0, 1,2, ... ; a = 1, b = 2. Gesucht: IAI. Schritt 1: Nach Integration folgt y (x) = n! 1 xn + 1 + c, c E .R . n 1 IAI = _1_(2 +-l) Schritt 2: n+l . 2 1 EinfUhrung 1.2 Ein Bevolkerungsmodell Die Xnderung der Bevolkerungszahl dN (t) im Zeitintervall dt ist gegeben durch dN(t) N (t + dt) - N(t) ~:= dt und die Wachstumsrate R (t) durch dN(t) R(t):= N(t) dt· Ein einfaches Bev61kerungsmodell geht von einem Anfangswert N (to) = No aus und nimmt an, da~ R (t) sich als Differenz der konstanten Geburtsrate b und Todes rate d schreiben Ui~t: R(t)=b-d=:R.
Product Identifiers
Publisher
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft Mbh
ISBN-10
3528044209
ISBN-13
9783528044206
eBay Product ID (ePID)
216011990
Product Key Features
Book Title
Gewöhnliche Differentialgleichungen
Original Language
German
Format
Trade Paperback
Language
German
Topic
General
Book Series
Rechnerorientierte Ingenieurmathematik Ser.
Publication Year
1987
Type
Textbook
Illustrator
Yes
Genre
Technology & Engineering
Number of Pages
Xii, 422 Pages
Dimensions
Item Length
9.6 in
Item Height
0.4 in
Item Width
6.7 in
Item Weight
30.2 Oz
Additional Product Features
Intended Audience
Scholarly & Professional
Number of Volumes
1 Vol.
Lc Classification Number
T1-995
Copyright Date
1987
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:386659328516
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Item location:
Fairfield, Ohio, United States
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