In problem, x = 0 is a regular singular point of the given differential equation. Show that
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In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity differ by an integer. Use the method of Frobenius to obtain at least one series solution about x = 0. Use (23) where necessary and a CAS, if instructed, to find a second solution. Form the general solution on (0, ∞).
xy'' + 2y' xy = 0
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The indicial roots of the singularity at x 0 are r1 0 and r2 1 Since the diffe...View the full answer
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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