Explore BrainMass
Share

Explore BrainMass

    Numerical Euler's Method for Initial Value Problem

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

    Consider the initial value problem (IVP): y'(t) = y^2 y(0)=1

    Approximate y(1) using Euler's method and step sizes of 0.25. Perform these calculations by hand (using a calculator for arithmetic is ok). What is the true value of y(1)?

    © BrainMass Inc. brainmass.com October 9, 2019, 4:16 pm ad1c9bdddf
    https://brainmass.com/math/numerical-analysis/numerical-eulers-method-initial-value-problem-27439

    Attachments

    Solution Summary

    The solution shows how to apply the simple Euler's method to this IVP and compares it to the analytical solution.

    $2.19