Question

constant coefficient problem
y'''-2y''-y'+2y = 0

Answer 1

\[r^3-2r^2-r+2 = 0\]
\[-r^2(-r+2)-r+2=0\]
\[(-r+2)(-r^2+1)=0\]
\[r = 1,-1,2\]
\[c_1e^x+c_2e^{2x}+c_3e^{-x}\]