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Math Help - O.D.E Conceptual Question

  1. #1
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    O.D.E Conceptual Question

    I was wondering what you guys thought on this conceptual equation on O.D.E. It's something I have been struggling with, but I THINK it has something to do with linear independence. Could you chime in your two cents on the following?


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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: O.D.E Conceptual Question

    (1) True. Choose c_1=1,\;c_2=0 and c_1=0,\;c_2=1. (2) True. Choose y_h=0. (3) False. Choose the equation y'=1, and y_{p1}=x^2+x, y_{p2}=-x^2.
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