現實生活中的數學應用 (特急件20點唷 !!!)

Question

最近(大學)微分方程課老師要我們去找生活上可以用到微分方程的問題
例如 : 算物理上 位移 . 速度 . 加速度 (3者有微分關係)

請問還有什麼實例和為分方程有關係呀 ??

請舉出越多越好 也請附註一下如何應用
我會挑出最詳細的給點 先在此多謝各位了 !

彈道應用和核能發電那2項的資料好像被刪除了耶
能不能去檢查一下呀 THANKS

Answer 1

微分方程課 Differential Equation (Not Calculus!!!)

1. Geometric Applications:
Families of Plane Curves and Orthogonal Trajectories
彈道應用
www.math.wayne.edu/xde/Media/PDF/Documents/PART1/LABS/LAB08.pdf%23search='Families%2520of%2520Plane%2520Curves%2520and%2520Orthogonal%2520Trajectories'

2. The Simple Pedulum (位移 . 速度 . 加速度)
theta=alphaCos(g/L)*t

3. The Hanging Cable (繩子彎曲)
This is called catenary!!!
http://202.43.196.230/language/translatedPage?tt=url&text=http%3a//mathforum.org/calcpow/images/catenarytextexact.htm&lp=en_zt&.intl=tw&fr=fp-tab-web-t

4. Amortization (USE WIDELY BY Business Finance財政顧問)
(This involve with three definitions. I cannot find them on the Web)
m=monthly pay
A=amount borrowed
I=interest
Pn=outstanding principal at the end of moth n
m=AI/[1-(1+I)^(1-n)]

5. Heating up metals加熱等式,
http://202.43.196.230/language/translatedPage?lp=en_zt&.intl=tw&tt=url&text=http%3a%2f%2fplanetmath.org%2f%3fop%3dgetobj%26from%3dobjects%26name%3dHeatEquation

6. One-Dimensional Neutron Transport核能發電
www.rpi.edu/AFS/locker/03/001203/notes/Preface.pdf%23search='Neutron%2520Transport%2520differential%2520equation'

7. Econometrics for Stochastic process (經濟和統計)

8. Closed System of n Industries 經濟

9. Stability 經濟和物理

Answer 2

Circuits