1. This small group activity is designed to give students practice with series solutions to differential equations that result in polynomials.
  2. Students work in small groups to find a polynomial solution to the Hermite equation for a given eigenvalue from the recurrence relation.
  3. The whole class wrap-up discussion emphasizes that there are two solutions, one of which ends up being not physically relevant, and emphasizes what relevant features of the recurrence relation lead to polynomial solutions.

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