Find the indicial equation and its roots and state (but do
Chapter 8, Problem 8RP(choose chapter or problem)
Find the indicial equation and its roots and state (but do not compute) the form of the series expansion about \(x=0\) (as in Theorem 7 on page 468) for two linearly independent solutions of the given equation for \(x>0\).
(a) \(x^{2} y^{\prime \prime}+(\sin x) y^{\prime}-4 y=0\)
(b) \(2 x y^{\prime \prime}+5 y^{\prime}+x y=0\)
(c) \((x \sin x) y^{\prime \prime}+x y^{\prime}+(\tan x) y=0\)
Equation Transcription:
Text Transcription:
x=0
x>0
x2y''+(sin x)y'-4y=0
2xy''+5y'+xy=0
(x sin x)y''+xy'+(tan x)y=0
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