Explore BrainMass

Explore BrainMass

    Initial-Value Problem : Euler and Runge-Kutta Method

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Solve the following initial value problem by Euler's method using h = 0.1. Find an error by comparing to exact solution. Then solve it by the Runge-Kutta method. Find an error.
    dy/dx = 3xy²; y(0) = 1; 0 ≤ x ≤ 1

    © BrainMass Inc. brainmass.com March 4, 2021, 6:08 pm ad1c9bdddf

    Solution Preview

    Please see attachments. The excel spreadsheet actually solves it, and the word file is an explanation.

    The actual answer to the differential equation is , with the graph for x=0 to 1 displayed below. The problem with using any of the approximation algorithms for this question is the sharp ...

    Solution Summary

    An IVP is solved using Euler and Runge-Kutta Methods. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.