Concept explainers
Program Description: Purpose of the problem is to construct a table for the approximation solution and the actual solution of
Summary Introduction:
Purpose will use Runge-Kutta’s method to construct the table of the approximation solution and the actual solution
Explanation of Solution
Given information:
In the interval of
The differential equation is
Calculation:
The initial value problem
The differential equation is
The value of
Therefore, the value of
Substitute 0 for
Substitute
The value of
Therefore, the value of
Substitute 0 for
Substitute
The value of
Therefore, the value of
Substitute 0 for
Substitute
The value of
Therefore, the value of
Substitute 0 for
Substitute
The value of
The approximate value can be calculated as,
Now actual value can be calculated by substituting the given values of
Substitute
Similarly, further values can also be calculated using the above steps.
Therefore, the above table shows all the values of approximation value
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Chapter 2 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
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