You are given the differential equation (x² + 1)y″ – 10xy' + 28y = 0. Since x = 0 is clearly an ordinary point of the equation, we can find a power series solution to this ODE: y = Σn=0 anxn
You are given the differential equation (x² + 1)y″ – 10xy' + 28y = 0. Since x = 0 is clearly an ordinary point of the equation, we can find a power series solution to this ODE: y = Σn=0 anxn
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
Question
Find the recursion formula for the coefficients of the power series. For n = 10, what is the factor between (an) + 2 and (an) (meaning, what is (an) + 2/(an))?
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