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Math Help - Second order linear ODE

  1. #1
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    Second order linear ODE

    y1 =x and y2=x^2

    Find an equation of the form y'' + p(x)y' + q(x)y=0 for which y1,y2 are solutions.

    The solutions our lecturer gave us say q=2/x^2 and p= -2/x

    Although, he did not show how to derive them.

    Any help?
    Thanks.
    Thanks from HallsofIvy
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  2. #2
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    Re: Second order linear ODE

    Just substitute both 'solutions' into the d.e., that gets you two equations in p and q which can be solved simultaneously.
    Thanks from topsquark and 99.95
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