Consider the following differential equation: (x² – 4)y" – xy' – 3y = 0 i. Verify that x, = 0 is an ordinary point. ii. Determine its series solutions about x, = 0, using the Power Series Method. Indicate the recurrence relation and write the first four non-zero terms (unless it terminates earlier) of the series solutions.
Consider the following differential equation: (x² – 4)y" – xy' – 3y = 0 i. Verify that x, = 0 is an ordinary point. ii. Determine its series solutions about x, = 0, using the Power Series Method. Indicate the recurrence relation and write the first four non-zero terms (unless it terminates earlier) of the series solutions.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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