1. Determine the interval of convergence for the series: 27 81 - x³ +²=²x² + · ... 7 3 9 3x + 5x²+3 2. Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0 3. Obtain two linearly independent solutions valid near the origin: 3xy" +(2-x)y' - 2y = 0
1. Determine the interval of convergence for the series: 27 81 - x³ +²=²x² + · ... 7 3 9 3x + 5x²+3 2. Find a general solution valid near the origin: (x²+4)y" + 2xy' - 12y = 0 3. Obtain two linearly independent solutions valid near the origin: 3xy" +(2-x)y' - 2y = 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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