Note that x = 0 is an irregular point of the equation (a) Show that y =
Question:
Note that x = 0 is an irregular point of the equation
(a) Show that y = xr Σ cnxn can satisfy this equation only if r = 0.
(b) Substitute y = Σ cnxn to derive the "formal" solution y = Σ n!xn. What is the radius of con- vergence of this series?
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a b Substitution of y x r cnx n into the differential equation yields a result of the form so ...View the full answer
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Related Book For 
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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