Answered: For the differential equation (x2+1)y''…

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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For the differential equation (x²+1)y'' + (sinx)y' + x⁴y = 0 what would be the minimum radius of convergence of two linearly independent power series solutions centered at x₀=2? (you don't need to find these power series!)

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Step 1

To Determine :-

For the differential equation

$(x^{2} + 1) y'' + (\sin x) y' + x^{4} y = 0$

The minimum radius of convergence of two linearly independent power series solutions centered at $x_{0} = 2$ .

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