Concept explainers
To find the percentage error for the initial value problem
Answer to Problem 64E
The percentage error for the initial value problem
Explanation of Solution
Given information :
The
Formula used:
Using the Euler’s method to compute
To calculate the percentage error:
Calculation:
Consider,
It is clear that
Using the Euler’s Method,
Therefore by using the Euler’s method the value of
To verify:
Using the antiderivative of the differential equation,
Substitute the given point
Therefore,
Thus,
To calculate the percentage error:
Hence, the percentage error for the initial value problem
Chapter 7 Solutions
Calculus: Graphical, Numerical, Algebraic
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