Each of the differential equations has an irregular
Chapter 6, Problem 36E(choose chapter or problem)
Each of the differential equations
\(x^{3} y^{\prime \prime}+y=0\)
and
\(x^{2} y^{\prime \prime}+(3 x-1) y^{\prime}+y=0\)
has an irregular singular point at x = 0. Determine whether the method of Frobenius yields a series solution of each differential equation about x = 0. Discuss and explain your findings
Text Transcription:
x^3y^prime\prime+y=0
x^2y^prime\prime+(3x-1)y^prime+y=0\)
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