Initial-Value Problems for Differential Equations, Lipschitz Conditions, Euler's Method and Taylor's Method

Text Book (Numerical Analysis- II) (8th Edition) Author: - Richard L.Burden & J.Douglas Faires, ISBN: - 0534404995. See attached files for full problem description.

The problem which is solved in this posting is from Calculus, Numerical Analysis and Approximations using Modified Euler's Method

Question : Use the Modified Euler Method to approximate the solution to the initial value problem, and compare the results to the actual values. y'=te^3t-2y, 0 <=t<=1 , y(0) = 0 with h = 0.5 actual solution y(t) = (1/5)te^3t-(1/25)e^3t+(1/25)e^-2t For the complete description of the question, please see the attach ...continues

A problem from Differential Equations, based on using Modified Euler's method to approximate the soluton to initial value problem is given in this posting. The problem is solved with step by step explanation and all the working.

Use Modified Euler's Method to approximate the solution to the initial value problem and compare the results to the actual values y'=1+(t-y)^2 , 2 <=t<=3 , y(2) = 1 with h = 0.5 Actual solution y(t)=t+1/(1-t) For full description of the question, please see the attached question file

Numerical Analysis

I need following question to be solved. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 and 26 See attached file for full problem description.

Numerical Analysis

I need following question to be solved. 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 and 26. See attached file for full problem description.

Matlab : Euler Formula and Runge-Kutta Fourth Order

I am posting formula called Runge Kutta Fourth Order. This formula need to be written in a matlab program. I attached sample program how to generate euler formula in mathlab. Based on this program, can any one send matlab program for Runga Kutta Fourth Order? See attached files for full problem description.

Numerical Analysis - Approximation Theory : Discrete Least Squares

I need solutions for following questions 1, 2, 5, 8 and 13. Problems start on p 490. See attached file for full problem description.

Numerical Analysis : Orthogonal Polynomials and Least Squares Approximations

Following questions need to be answered: 2, 4, 6, 7, 8, 11, & 12. (page 502) See attached file for full problem description.

Rate of Return

Suppose that in August 1997 you purchased shares in Staples, Inc. (NASDAQ: SPLS). It is now five years later and you decide to evaluate your holdings to see if you have done well with this investment. The table below shows the market prices of SPLS: Year 1997 1998 1999 2000 2001 2002 Price $12.3125 $29.1250 $ ...continues

Numerical Methods : Matlab Program for Linear Least Squares Analylsis

Please see the attached file for the fully formatted problems.