Toronto Math Forum
MAT2442013F => MAT244 MathTests => Quiz 2 => Topic started by: Victor Ivrii on October 30, 2013, 08:10:32 PM

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.

if $y_1$ and $y_2$ are zero at the same point in $I$ï¼Œthen 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

Question1

Question1
What is the reason to post inferior (scanned) solution after a better  typed has been posted?