Question: Series solution to an ODE?

I don't know what is the problem with this. Please take a look at it. Any help is appreciated. Thanks.



[Im, Re, `^`, arccos, arccosh, arccot, arccoth, arccsc, arccsch, arcsec, arcsech, arcsin, arcsinh, arctan, arctanh, cos, cosh, cot, coth, csc, csch, eval, exp, expand, limit, ln, log, sec, sech, signum, simplify, sin, sinh, solve, sqrt, surd, tan, tanh]



[DEdetermine, FPseries, FTseries, candidate_mpoints, candidate_points, dAlembertian_formal_sol, dAlembertian_series_sol, hypergeom_formal_sol, hypergeom_series_sol, mhypergeom_formal_sol, mhypergeom_series_sol, msparse_series_sol, polynomial_series_sol, rational_series_sol, series_by_leastsquare]


ODE := x*(diff(y(x), x, x))-(diff(y(x), x))-x*y(x)

x*(diff(diff(y(x), x), x))-(diff(y(x), x))-x*y(x)


SS := convert(sin(x), FormalPowerSeries)

Sum((-1)^k*x^(2*k+1)/factorial(2*k+1), k = 0 .. infinity)


FPseries(ODE = SS, y(x), v(n))

Error, the right-hand side of the differential equation must be a polynomial or a series in x





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