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Math Help - Find a basis for the vector spaces of all solutions

  1. #1
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    Find a basis for the vector spaces of all solutions

    Find a basis for the vector spaces of all solutions of y'''-3y''=0 y'=dy/dt

    thanks for your help.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    The roots of the characteistic equation \lambda^3-\lambda^2=0 are \lambda=0 (double) and \lambda=1 (simple) so, a basis for the vector space of all solutions is B=\{1,t,e^t\}.


    P.D. This kind of problems are jut routine knowing the previous theory. Have you studied it?
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