(1) Let $C_1$ and $C_2$ be arbitrary constants. The general solution to the homogeneous differential equation $256 x^2 y''+ 160 x y' + 9 y = 0$ is the function $y(x)=C_1\ y_1(x)+C_2\ y_2(x)=C_1$ $+C_2$.

(3) The unique solution to the initial value problem $$256 x^2 y''+160 x y' + 9 y =0,\ \ y(-1) = -7,\ \ y'(-1) = 6.$$ is the function $y(x)=$ for $x \in$ .