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Math Help - Linear Equations of Higher Order: Homogeneous Equations With Constant Coefficients

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    Linear Equations of Higher Order: Homogeneous Equations With Constant Coefficients

    Could anyone please help me with this problem, I having a hard time factoring it. Here it is:

    Find the General Solution of the following:

    y^(3)+ y'' - y' - y = 0 or r^(3) + r ^(2) - r - 1 =0
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    Quote Originally Posted by googoogaga View Post
    Could anyone please help me with this problem, I having a hard time factoring it. Here it is:

    Find the General Solution of the following:

    y^(3)+ y'' - y' - y = 0 or r^(3) + r ^(2) - r - 1 =0
    k^3+k^2-k-1=0

    k(k^2-1)+(k^2-1)=0

    (k^2-1)(k+1)=0
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