(Solved): (1 point) Find the general solution to the homogeneous differential equation dt2d2y2dtdy+ ...

(1 point) Find the general solution to the homogeneous differential equation $$\frac{d^{2}y}{d{t}^2}?2\frac{dy}{dt}+1y=0$$ The solution can be written in the form $$y=C_1{f}_1(t)+C_2{f}_2(t)$$ with $$f_1(t)$$ : and $$f_2(t)=$$ Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter your answers so that the functions are normalized with $$f_1(0)=1$$ and $$f_2(0)=0$$