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The ODE x⁴y′′ +λy = 0 has an irregular singular point at x0 = 0. Show that the substitution t = 1/x turns the ODE into
d²y/dt² + 2dy/t dt +(λy) = -0
which has a regular singular point at x₀​=0. Now make the guess y= ∑ Cntⁿ⁺ʳ and find the power series solutions to the ODE.
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