Euler method,

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Given the differential equation (picture attached) with initial conditions y = 1 at x = 2.0, produce a numerical solution of the differential equation, correct to 6 decimal places, using (1) Euler method, (2) Euler-Cauchy (3) Runge-Kutta method & (4) Analytical method in the range x= 2.0(0.1) 2.5.

 

Compare the percent error of the estimated values of (1), (2) & (3) calculated against the actual values of (4). Express answers in a table form. Show complete solution.

dy
-+1=
y
dx*1
Transcribed Image Text:dy -+1= y dx*1
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