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    Polynomials and second derivatives

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    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)

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    https://brainmass.com/math/derivatives/polynomials-second-derivatives-1981

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    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.

    $2.19

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