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Length: 37 Minutes Presenter: Dr. Robert Lopez Product: Maple
To find a particular solution of the ODE y" + 2 y' + y = x e–x by the method of undetermined coefficients, the characteristic roots m=–1, –1, must be determined; the latent roots m' –1, –1, ± 2 i, must also be extracted from the inhomogeneous term. (What I call "...
Length: 54 Minutes Presenter: Dr. Robert Lopez Product: Maple
In this webinar, we look at Maple's tools for obtaining series solutions of ordinary differential equations. In particular, we are interested in second-order linear ODEs, with solutions about both regular and singular points, the latter governed by the Frobenius theory. The extent to which Maple can...
Length: 27 Minutes Presenter: Dr. Robert Lopez Product: Maple
If an initial-value problem or a boundary-value problem should contain parameters that can only be determined from observed data, can Maple solve the least-squares fitting problem that is implied? This webinar provides an affirmative answer. It considers two IVPs and a BVP, each containing two para...
Length: 47 Minutes Presenter: Dr. Robert Lopez Product: Maple
More than 50 years ago in a graduate course in differential equations, my colleagues and I struggled to understand what a Green's function for an ordinary differential equation really was. Suddenly, someone pointed to a green chalk mark on the blackboard and, with great glee, declared it to be the l...
Length: 62 Minutes Presenter: Dr. Robert Lopez Product: Maple
In this webinar, we will look at the Rayleigh quotient for finding eigenvalues of symmetric matrices, and its relation to the Rayleigh-Ritz technique for approximating solutions of the Sturm-Liouville eigenvalue problem. The gap between optimization and approximating eigenvalues of an ODE is spanned...
Length: 51 Minutes Presenter: Maplesoft Product: Maple
Curve Fitting 亦即曲線擬合，為使離散數據公式化的功能，可應用在各種物理問題和統計問題有關量的多次觀測值或實驗值推導，然而資料龐雜可能會使推導過程費時費力。Maple內建的Curve Fitting小幫手工具，可以幫助您快速直接輸入數據資料進行曲線擬合。您亦可利用給定函數的方式，以Maple撰寫擬合程序，進行線性或非線性函數之數據擬合工作，快速且輕鬆地建立曲線擬合結果。本單元介紹如何應用Maple的Statistics函式庫進行數學統計與數據分析，其中包括了線性與非線性方程式的數據擬合，同時以一案例說明如何利用Maple進行常微分方程擬合，幫助您進行曲線擬合分析工作。
Length: 45 Minutes Presenter: Maplesoft Product: Maple
Nessa webinar estudaremos os tipos principais de equações diferenciais ordinárias, como equações separáveis, homogêneas, exatas, lineares, não-lineares como Bernoulli e Ricatti, as de segunda ordem com coeficientes constantes homogêneas e ...
