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Been stuck on this for a while. $$dx/dt = 2x+4y+4z$$ $$dy/dt = -x-2y $$ $$dz/dt = -x - 2z$$ Where I am so far: ![Where I am][1]

[1]: https://i.stack.imgur.com/4Vbmk.jpgenter image description here

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    Write it as a matrix system and solve for the eigenvalues, the solution will be in the form of exponentials – 2017-01-19
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    I know the method for solving it, but I cant get the right solution vectors, thank you though :) – 2017-01-19
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    @Moo okay, thanks – 2017-01-19

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You are almost there, just apply Gaussian elimination to these matrices, you will see, for example, that the first one reduces to the system $$k_1=0$$ $$k_2+k_3=0$$ From this you get $$\vec v_1 =(0,1,-1)^T$$ as the first eigenvector. For the other two, apply the same procedure.