### Author Topic: Problem 1 Night Sections  (Read 2394 times)

#### Victor Ivrii

• Elder Member
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##### Problem 1 Night Sections
« 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.

#### Yangming Cai

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##### Re: Problem 1 Night Sections
« Reply #1 on: November 13, 2013, 09:34:32 PM »