a) Solve (1-x²)y" — xy' + p²y = 0 using power series methods at xo = 0. b) For what p is there a polynomial solution?
a) Solve (1-x²)y" — xy' + p²y = 0 using power series methods at xo = 0. b) For what p is there a polynomial solution?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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