1. The problem statement, all variables and given/known data y'' -2y' +5y =0 , y(0)=1, y'(0)=1 you get a complex root conjugate. 2. Relevant equations y=e^(rt) y'=re^(rt) y''=r^2 * e^(rt) 3. The attempt at a solution I have in my notes sin(omega*t)e^(sigma *t), cos(omega *t)e^(sigma). I don't think i took down the notes properly, can anyone care confirm if this is right or wrong?