Question Number 163934 by cortano1 last updated on 12/Jan/22
$${Let}\:{y}\left({x}\right)\:{be}\:{the}\:{solution}\:{of}\: \\ $$$$\:\:{x}^{\mathrm{2}} \:{y}''\left({x}\right)−\mathrm{2}{y}\left({x}\right)=\mathrm{0}\:\rightarrow\begin{cases}{{y}\left(\mathrm{1}\right)=\mathrm{1}}\\{{y}\left(\mathrm{2}\right)=\mathrm{1}}\end{cases} \\ $$$$\:{y}\left(\mathrm{3}\right)=? \\ $$