Apply Euler's method twice to approximate the solution to the initial value problem on the interval 1 approximations at x = with the value of y of y(7) of y'=y+ 4x-13, y(0) = 8, y(x)=9-4x-e* of the actual solution. The Euler approximation when h=0.25 of y is (Type an integer or decimal rounded to three decimal places as needed.) The Euler approximation when h= 0.1 of yz is (Type an integer or decimal rounded to three decimal places as needed.) The value of y using the actual solution is (Type an integer or decimal rounded to three decimal places as needed.) The approximation using the value of h, is closer to the value of y (Type an integer or decimal rounded to three decimal places as needed.) first with step size h=0.25, then with step size h=0.1. Compare the three-decimal-place values of the two found using the actual solution.
Apply Euler's method twice to approximate the solution to the initial value problem on the interval 1 approximations at x = with the value of y of y(7) of y'=y+ 4x-13, y(0) = 8, y(x)=9-4x-e* of the actual solution. The Euler approximation when h=0.25 of y is (Type an integer or decimal rounded to three decimal places as needed.) The Euler approximation when h= 0.1 of yz is (Type an integer or decimal rounded to three decimal places as needed.) The value of y using the actual solution is (Type an integer or decimal rounded to three decimal places as needed.) The approximation using the value of h, is closer to the value of y (Type an integer or decimal rounded to three decimal places as needed.) first with step size h=0.25, then with step size h=0.1. Compare the three-decimal-place values of the two found using the actual solution.
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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