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A programmable calculator or a computer will
Chapter 2, Problem 16P(choose chapter or problem)
Problem 16P
A programmable calculator or a computer will be usefitl for Problems through. In each problem find the exact solu-tion of the given initial value problem. Then apply the Runge- Kutta method twice to approximate (to five decimal places) this solution on the given inteival, first with step size h = 0.2, then with step size h = 0.1. Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximation, for x an integral multiple of 0.2. Throughout, primes denote derivatives with respect to x.
Questions & Answers
QUESTION:
Problem 16P
A programmable calculator or a computer will be usefitl for Problems through. In each problem find the exact solu-tion of the given initial value problem. Then apply the Runge- Kutta method twice to approximate (to five decimal places) this solution on the given inteival, first with step size h = 0.2, then with step size h = 0.1. Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximation, for x an integral multiple of 0.2. Throughout, primes denote derivatives with respect to x.
ANSWER:
Solution :
Step 1 of 6 :
In this problem, we have to make a table that shows the approximation value, actual value together with the percentage error in the more accurate approximation.