Consider the initial value problem $$ Vleft(x^{2}-81 ight) y^{\prime \prime}+3 x y^{\prime}-2 y=0 $$ (a) What is the largest interval on which a unique solution exists to the intitial value problem with $y(16)=k_{0}$ and $y^{\prime)(16)=k_{1}$ ? (6) What is the largest interval on which a unique solution exists to the intitial value problem with $y(-18)=k_{0}$ and Sy{\prime} (-18)=k_{1}$ ? (c) What is the largest interval on which a unique solution exists to the intitial value problem with $y(-4)=k_{0}$ and $y[\prime)(-4)=k_{1}$ ? SP.SD. 3261