y2 = y1 S * eJpak) ,Q and P are from Py" + Qy' + Ry = 0. (Eqn. a)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Determine if x0 = 0 is an ordinary or a singular point. If it is a singular point, determine if it
is a regular or an irregular singular point.

b) Based on your results in (a), use the appropriate method to determine two linearly
independent series solutions about x0 = 0. Indicate, the indicial equation, the root(s) of the
indicial equation, and the recurrence relation, where applicable. Use formula (Eqn. a) where Q & P are from P y''+Q y'' +Ry=0 to determine its second series solution. Hint: substitute series for e^-x.

= y1 S*elidk), Q and P are from Py" + Qy' + Ry = 0. (Eqn. a)
y2
Transcribed Image Text:= y1 S*elidk), Q and P are from Py" + Qy' + Ry = 0. (Eqn. a) y2
x?y" + x(1 + x)y' – 3(3 + x)y = 0
Transcribed Image Text:x?y" + x(1 + x)y' – 3(3 + x)y = 0
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