(a) The differential equation has an irregular singular
Chapter 6, Problem 33E(choose chapter or problem)
(a) The differential equation \(x^{4} y^{\prime \prime}+\lambda y=0\) has an irregular singular point at x = 0. Show that the substitution t = 1 x yields the DE
\(\frac{d^{2} y}{d t^{2}}+\frac{2}{t} \frac{d y}{d t}+\lambda y=0\)
which now has a regular singular point at t = 0.
(b) Use the method of this section to find two series solutions of the second equation in part (a) about the regular singular point t = 0.
(c) Express each series solution of the original equation in terms of elementary functions.
Text Transcription:
x^4y^prime\prime}+lambday=0
fracd^2yd t^2+frac2tfracdydt+lambday=0
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer