5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal places. Consider: y' = x²y, y(0) = 1, h = 0.1. i.) Summarize the results for the approximation for y(1) into a table. Include your values of xn, the approximation at each step yn, the exact value y(x) and the absolute error at each step. ii.) Plot the graph of the approximation curve and the graph of the exact solution on the same graph.
5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal places. Consider: y' = x²y, y(0) = 1, h = 0.1. i.) Summarize the results for the approximation for y(1) into a table. Include your values of xn, the approximation at each step yn, the exact value y(x) and the absolute error at each step. ii.) Plot the graph of the approximation curve and the graph of the exact solution on the same graph.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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