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#### alane1994

##### Active member

- Oct 16, 2012

- 126

\(y^{(4)}-4y'''+4y''=0\)

My work, which coincidentally I believe is incorrect....

From the above differential equation,

\(r^4-4r^3+4r^2=0\)

\(r^2(r-2)^2=0\)

\(r=0,~2\)

Then, would I just input that into a form like this?

\(y=c_1+c_2e^{2t}+c_3te^{2t}\)

I definitely feel as though this isn't correct...