Ode, Differential Equations, Solutions, Physics, Mathematics.
an integer, the solution y(x) has an algebraic branch point at x₀. If s is a negative integer, y(x) has a pole at x₀. If s is a positive integer or zero, y(x) is analytic at x₀ and this series is reduced to a Taylor series. The last equation, which is a series expansion with power n+s, is called