y''−2xy' + λy = 0, −∞ < x < ∞ where λ is a constant, is
known as the Hermite equation, named after the famous mathematician
Charles Hermite. This equation 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
• Observe that if λ is a nonnegative even integer, then one or
the other of the series...