It can be shown that $y_1=2$ and $y_2=\cos^2(9 x)+\sin^2(9 x)$ are solutions to the differential equation $9 x^5\sin(2 x)D^2 y -2 x^2\cos(9 x) Dy =0$ on $(0,\pi/4)$.

What does the Wronskian of $y_1, y_2$ equal on $(0,\pi/4)$?

$W(y_1,y_2)$ = on $(0,\pi/4)$.

Yes No  1. Is $\{y_1,y_2\}$ a fundamental set for $9 x^5\sin(2 x)D^2 y -2 x^2\cos(9 x) Dy =0$ on $(0,\pi/4)$?