The Wronskian & Variation of Parameters · Medium problem

The Euler equation $t^2y''+3ty'+y=0$ ($t>0$) has repeated-root solutions $y_1=\dfrac1t$ and $y_2=\dfrac{\ln t}t$. Find the common value of $y_1(t)=y_2(t)$ at the (unique) point where their graphs cross for $t>1$.