Determine for which values of $m$ the function $(x)=x^m$ is a solution to the given equation.

$($a$)3x^2\frac{d^{2}y}{d{x}^2}+11x\frac{dy}{dx}-3y=0$

$($b$)x^2\frac{d^{2}y}{d{x}^2}+3x\frac{dy}{dx}-27y=0$

$($a$)m=-3,\frac{1}{3}$

$($Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.$)$

$($b$)m=$

$($Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.$)$