If x = a 0 is a singular point of a second-order linear differential equation, then
Question:
If x = a ≠ 0 is a singular point of a second-order linear differential equation, then the substitution t = x - a transforms it into a differential equation having t = 0 as a singular point. We then attribute to the original equation at x = a the behavior of the new equation at t = 0. Classify (as regular or irregular) the singular points of the differential equations in Problems 9 through 16.
x3(1 - x)y" + (3x + 2)y' + xy = 0
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The only singular points of the differential equation are x 0 and x 1 x 0 In the standard ...View the full answer
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Related Book For 
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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