# Toronto Math Forum

## MAT244-2013F => MAT244 Math--Tests => Quiz 4 => Topic started by: Victor Ivrii on November 13, 2013, 08:31:56 PM

Title: Problem 1 Night Sections
Post by: Victor Ivrii on November 13, 2013, 08:31:56 PM
5.2 p. 264 \#21 (a)
\begin{equation*}
y''- 2xy'+\lambda y = 0,\qquad  -\infty < x < \infty,
\end{equation*}
where $\lambda$ is a constant, is known as the Hermite equation. It is an important equation in mathematical physics.

Find the first four terms in each of two solutions about $x = 0$ and show that they form a fundamental set of solutions.
Title: Re: Problem 1 Night Sections
Post by: Yangming Cai on November 13, 2013, 09:34:32 PM