Solve the Cauchy-Euler equation t2y+7ty+9y=0\displaystyle {t}^{{2}}{y}{''}+{7}{t}{y}'+{9}{y}={0} with intitial conditions y(1)=10,y(1)=1\displaystyle {y}{\left({1}\right)}={10},{y}'{\left({1}\right)}=-{1}.

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