Concept explainers
The differential equation
y″ − 2xy′ + 2αy = 0
is known as Hermite’s equation of order α after the French mathematician Charles Hermite (1822–1901). Show that the general solution of the equation is y(x) = c0y1(x) + c1y2(x), where
are power series solutions centered at the ordinary point 0.
Trending nowThis is a popular solution!
Chapter 6 Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,