MAT244-2013F > Quiz 2
Problem 1, Night sections
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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:
--- Quote from: Tianqi Chen on November 01, 2013, 11:22:46 AM ---Question1
--- End quote ---
What is the reason to post inferior (scanned) solution after a better -- typed has been posted?
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