This is the question: Find the error for Euler method of solving initial value problem y

istupilo8k

istupilo8k

Answered question

2022-05-28

This is the question:

Find the error for Euler method of solving initial value problem
y = y x + 1 , y ( 0 ) = 1
on the interval [ 0 , 1 ].
I'm confused by the question. Am I supposed to find something that prevents me from using the Euler method to solve this problem? If it is, how do I work through the problem to find the error? Thanks.

Answer & Explanation

Arabella Alvarez

Arabella Alvarez

Beginner2022-05-29Added 8 answers

Write out the numerical formula using Euler's Method, and do, say, ten iterations, that is, h = 0.1.
Compare that numerical result at each step to the exact solution to the DEQ:
y ( x ) = x + 1

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