Word Count : 78

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Here’s the manual solution. 1. Homogeneous part Solve $Y_{t+2}+12Y_{t+1}+30Y_t=0$. Characteristic: $r^2+12r+30=0\Rightarrow r=-6\pm\sqrt{6}$. So $$ Y_t^{(h)}=C_1(-6+\sqrt6)^{\,t}+C_2(-6-\sqrt6)^{\,t}. ________ __________ ___ ________ __________ _____ _________ ____ _______ ___ _____.
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