Differential equationsThe last chapter showed simple business problems being solved by differentiation, the calculation at particular points of the rate at which a function changed in relationship to a variable, where the rate itself was in continuous change. Each calculation involved an analytical or ...
What are the constant solutions of the differential equation? What do these solutions correspond to in the original population model (i.e., in a biological context)? What is the limiting population for each initial population you chose in step 2?2? (Hint: use the slope field to see what ...
- 反导数和不定积分。 6、微分方程初步(Differential Equations): - 微分方程的基本概念。 - 分离变量法和一阶线性微分方程。 - 利用微分方程建模问题。 7、应用问题和最优化(Applications and Optimization): - 利用微积分解决实际问题,如最大值、最小值和最优化问题。 - 泰勒级数和泰勒展开。 8、积分(Integrat...
Problem Set: Basics of Differential EquationsDetermine the order of the following differential equations. 1. y′+y=3y2y′+y=3y2 Show Solution 2. (y′)2=y′+2y(y′)2=y′+2y 3. y′′′+y′′y′=3x2y′′′+y′′y′=3x2 Show Solution 4. y′=y′′+3t2y′=y′′+3t...
Laplace's equationPoisson equationsBoundary conditions and uniqueness of solutionsNon-LinearityThe Navier-Stokes equation for fluid motionPerturbation of differential equationsBallisticsThe simple pendulum is not so simpleQualitative Methods: Solution Without SolutionWhat does it mean to solve a differential ...
Differential Equations Applications of Integration Parametric Equations, Polar Coordinates, and Vector-...
可分离变量的微分方程(separable equations) 形如dydx=g(x)f(y)被称为可分离变量的微分方程 进行变换后 dyf(y)=g(x)dx⇒∫dyf(y)=∫g(x)dx 线性微分方程(Linear eqations) 形如 dydx+P(x)y=Q(x) 称为一阶线性微分方程(first-order linear differential equation) 解:我们需要找到一个I(x)使得 ...
2:25:01 Partial Differential Equations|偏微分方程【可汗学院】 Albireo事象的四分之一 1.5万5 28:17:56 【微分方程与动力系统】【ICTP】DE and Dynamical Systems by Stefano Luzzatto 长明-R 28:20:19 麻省理工 多变量微积分 (MIT 18.02, Multivariable Calculus, Denis Auroux)【英】 ...
出版时间:2013-2-21 价格:GBP 93.00 装帧:Hardcover isbn号码:9780521763400 丛书系列: 图书标签:物理概率论数学Stochastics Stochastic Calculus and Differential Equations for Physics and Finance 2024 pdf epub mobi 电子书 图书描述 Stochastic calculus provides a powerful description of a specific class of stocha...