show that oC =0 ju n an Osdinasy point fos the equation Find He powes sesies vohttion tox tHe equation a bove
show that oC =0 ju n an Osdinasy point fos the equation Find He powes sesies vohttion tox tHe equation a bove
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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Transcribed Image Text:show that
an osdinasy point fox the equatron
find tHe powes sesies vohetion tox tHe equation a bove
Expert Solution
Step 1
Power series solution of a differential equation about an ordinary point:
Consider a second-order homogeneous linear differential equation of the form
......(I)
where are polynomials.
We assume throughout that have no common factors. Then we say that is an ordinary point of the equation if
Then every solution of the equation (I) can be represented by a power series
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