Question 2 ! problem dy dx Consider the initial-value =1+2x−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 Part (a). (c) Describe a way to improve the approximation of y(2) and use the way to find the improved approximation.
Question 2 ! problem dy dx Consider the initial-value =1+2x−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 Part (a). (c) Describe a way to improve the approximation of y(2) and use the way to find the improved approximation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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