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A programmable calculator or a computer will
Chapter 2, Problem 13P(choose chapter or problem)
Problem 13P
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 13P
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 3:
In this question, find the exact solution of the given initial value problem . Using a computer or calculator apply the Runge- Kutta method twice to approximate (to five decimal places) this solution on the given interval , first with step size , then with step size . Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximation, for an integral multiple of 0.2.
