# Initial-Value Problem : Euler and Runge-Kutta Method

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 = 3xyÂ²; y(0) = 1; 0 ≤ x ≤ 1

https://brainmass.com/math/algebra/initial-value-problem-euler-runge-kutta-method-30846

#### 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.

$2.49