Explore BrainMass

Explore BrainMass

    Forced harmonic oscillator

    Not what you're looking for? Search our solutions OR ask your own Custom question.

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

    Consider the forced harmonic oscillator:
    y'' + by' + ky = g(t) + y0
    where the forcing is made up of two parts, constant forcing (y0) and forcing (g(t)) that changes over time.
    a) Let w(t) = y(t) - y0/k. Rewrite the forced harmonic oscillator equation in terms of the new variable w.
    b) In what ways are the solutions of the two equations the same?

    © BrainMass Inc. brainmass.com May 24, 2023, 1:27 pm ad1c9bdddf

    Solution Preview

    (a) Let w(t)=y(t)-y0/k. Then y(t)=w(t)+y0/k. Since y0 and k are constants, then we ...

    Solution Summary

    This shows how to rewrite a forced harmonic oscillator. Forced harmonic equations are examined.