=====Mathematics 255 - Spring 2017=====

==== Homework ====

Problems 5-2: 2

Problems 5-3: 3, 4

Also: Suppose $a(x)$, $b(x)$, and $c(x)$ are continuous on an interval $I$, with $a(x) \ne 0$ for all $x$ in $I$. Moreover, suppose $y_1$ and $y_2$ are linearly independent solutions to $a(x)y'' + b(x)y' + c(x)y = 0$ on $(-\infty, \infty)$. Show that $y_1$ and $y_2$ cannot have a local maximum at the same point $x_0$.