Find the solution of the Euler equation on (0,)\displaystyle {\left({0},\infty\right)} with initial conditions

x2y6y=0,y(1)=1,y(1)=8\displaystyle {x}^{{2}}{y}{''}-{6}{y}={0},\quad{y}{\left({1}\right)}={1},{y}'{\left({1}\right)}={8}



y(x)=\displaystyle {y}{\left({x}\right)}=