MAT244-2013F > Quiz 4

Problem 1 Night Sections

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**Victor Ivrii**:

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**:

answer as follows

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