I have $d^2x/dt^2+2dx/dt-2=e^(-t)$ and I have found CF = $A+Be^(-2t)$
I need to find the PI, usually I differentiate everything until you have a constant on the right or with an exp I would set $x= e^(-t)v(t)$ but neither seems to work, could someone help me with the method, thanks
2. Your guess for a particular solution is incorrect. What is the homogenous solution to: $x''+2x'=e^{-t}+2$?