Question 2 Consider the initial-value problem dy dz = 1+ 2z-y, y(0) = 1. (a) Use the Euler's method to find the approximation of y(2) with the step size h = 1. (b) Find the integrating factor and use it to solve the initial-value problem. Find the difference between the exact value of y(2) and its approximation found in Pan (c) Describe a way to improve the approximation of y(2) and use the way to find the improved approximation.

Question 2 Consider the initial-value problem dy dz = 1+ 2z-y, y(0) = 1. (a) Use the Euler's method to find the approximation of y(2) with the step size h = 1. (b) Find the integrating factor and use it to solve the initial-value problem. Find the difference between the exact value of y(2) and its approximation found in Pan (c) Describe a way to improve the approximation of y(2) and use the way to find the improved approximation.

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

Section2.4: Solving Nonlinear Equations

Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...

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