Consider the general perturbed Cauchy-Euler equation x2 y + x[1 (a + b) + cx]y + (ab +
Chapter 11, Problem 18(choose chapter or problem)
Consider the general perturbed Cauchy-Euler equation x2 y + x[1 (a + b) + cx]y + (ab + dx)y = 0, x > 0, (11.7.12) where a, b, c, d are constants. Assuming that a and b are distinct and do not differ by an integer, determine two linearly independent Frobenius series solutions to Equation (11.7.12). [Hint: Use symmetry to get the second solution.] 1
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