Explore BrainMass

Explore BrainMass

    Polynomials and second derivatives

    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!

    Find a polynomial p so that:

    p''(t)+3p'(t) + 2p(t) = (t^2)-2

    for all numbers t.

    (note: p''= p double prime and t^2 = t raised to the power of 2)

    © BrainMass Inc. brainmass.com November 29, 2021, 11:47 pm ad1c9bdddf
    https://brainmass.com/math/derivatives/polynomials-second-derivatives-1981

    Solution Preview

    Please see attachment

    Problem :

    Find a polynomial p so that:

    p''(t)+3p'(t) + 2p(t) = (t^2)-2

    for all numbers t.

    (note: p''= p double prime and t^2 = t raised to the power of 2)

    Solution :

    Let p(t)= a0+ a1*t+a2*t^2+a3*t^3+...+an*t^n
    Then ...

    Solution Summary

    This shows how to find a polynomial to fit a given differential equation. The second derivatives are given.

    $2.49

    ADVERTISEMENT