Linear Equations of Higher Order: Homogeneous Equations With Constant Coefficients

**googoogaga** · July 29th 2007, 02:24 PM

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

**ThePerfectHacker** · July 29th 2007, 02:37 PM

Originally Posted by googoogaga

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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