It can be shown that $y_1=x^{-1},\ y_2=x^{-8}$ and $y_3=3$ are solutions to the differential equation $x^2D^3y+12 x D^2y+ 18 Dy =0$ on $(0,\infty)$.

What does the Wronskian of $y_1, y_2, y_3$ equal?

$W(y_1, y_2, y_3 )$ = on $(0,\infty)$.

Yes No  1. Is $\{y_1,y_2,y_3\}$ a fundamental set for $x^2D^3y+12 x D^2y+ 18 Dy =0$ on $(0,\infty)$?