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Gewhnliche Differentialgleichungen: Analytische und numerische Behandlung by W.

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eBay item number:386659328516
Last updated on May 19, 2024 05:48:30 PDTView all revisionsView all revisions

Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
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
Author
Fritz Reutter, W. Luther, Harry Yserentant, Klaus Niederdrenk
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

Author
Fritz Reutter, W. Luther, Harry Yserentant, Klaus Niederdrenk
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

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