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Consider the ODE x²y" + (e³x - 1)y' + (1+x²) arctan(x) y = 0. What value(s) of p provide non-trivial series solutions of the form y(x) = Σanan+p? n=0 Select one: O a. p= -2,0

Consider the ODE x²y" + (e³x - 1)y' + (1+x²) arctan(x) y = 0. What value(s) of p provide non-trivial series solutions of the form y(x) = Σanan+p? n=0 Select one: O a. p= -2,0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!
Consider the ODE x²y" + (e³x - 1)y' + (1 + x²) arctan(x)y = 0. What value(s) of p provide non-trivial series solutions of the form ∞ y(x) = Σanxn+p? Select one: a. b. O c. d. n=0 e. P = -2,0 p= 0,1 p= -1 1±i√3 2 None of the above. p=
Transcribed Image Text:Consider the ODE x²y" + (e³x - 1)y' + (1 + x²) arctan(x)y = 0. What value(s) of p provide non-trivial series solutions of the form ∞ y(x) = Σanxn+p? Select one: a. b. O c. d. n=0 e. P = -2,0 p= 0,1 p= -1 1±i√3 2 None of the above. p=
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