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3. (a) ( ry' + 3r²y = (b) y(1) = 0, y/(1) = 1, by an expansion of the form y = E an (x – 1)", use the result of part Find all singular points in the complex plane for the equation 2(2+ x²)ry" + = 0. If one attempts to solve the initial value problem 2(2 + x2)y" + y +3ry = 0, %3D n=0 (a) to find a lower bound for the radius of convergence of the solution.

3. (a) ( ry' + 3r²y = (b) y(1) = 0, y/(1) = 1, by an expansion of the form y = E an (x – 1)", use the result of part Find all singular points in the complex plane for the equation 2(2+ x²)ry" + = 0. If one attempts to solve the initial value problem 2(2 + x2)y" + y +3ry = 0, %3D n=0 (a) to find a lower bound for the radius of convergence of the solution.

Advanced Engineering Mathematics
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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3. (a) ( Find all singular points in the complex plane for the equation 2(2+ x2)ry" + xy' +3x²y = 0. %3D (b) If one attempts to solve the initial value problem 2(2 + x²)y" + y' + 3xy = 0, %3D 8 y(1) = 0, y'(1) = 1, by an expansion of the form y = E an(x- 1)", use the result of part n=0 (a) to find a lower bound for the radius of convergence of the solution.
Transcribed Image Text:3. (a) ( Find all singular points in the complex plane for the equation 2(2+ x2)ry" + xy' +3x²y = 0. %3D (b) If one attempts to solve the initial value problem 2(2 + x²)y" + y' + 3xy = 0, %3D 8 y(1) = 0, y'(1) = 1, by an expansion of the form y = E an(x- 1)", use the result of part n=0 (a) to find a lower bound for the radius of convergence of the solution.
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