To find: The percentage error.
Answer to Problem 63E
The answer is:
Explanation of Solution
Given information:
The differential equation is:
Calculation:
To use Euler’s method to make a table as shown below
It is given that,
And the initial point
After completing each row, the point
Continue finding the
Whatever is
3 | 0.1 | 0.3 | ||
3.2 | 0.1 | 0.32 | ||
3.4 | 0.1 | 0.34 | ||
3.6 | 0.1 | 0.36 |
By Euler’s method
T find the exact value of
Put
Therefore
So,
The percentage error is then,
Therefore the required percentage error is
Chapter 6 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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