Problem 1, Night sections

[Victor Ivrii]

Assume that $p$ and $q$ are continuous and that the functions $y_1$ and $y_2$ are solutions of the differential equation
\begin{equation*}
y''+p(t)y'+q(t)y=0
\end{equation*}
on an open interval $I$.

Prove that if $y_1$ and $y_2$ are zero at the same point in $I$, then they cannot be a fundamental set of solutions on that interval.

[Yangming Cai]

if $y_1$ and $y_2$ are zero at the same point in $I$，then its Wronskian , which is $y_1y_2'-y_2y_1'=0 $   and then $y_1$ and $y_2$ are not linearly independent, indicating that they cannot form a fundamental solution on that interval

[Tianqi Chen]

Question1

[Victor Ivrii]

Question1

What is the reason to post inferior (scanned) solution after a better -- typed has been posted?