How to solve ODE y'y''+y''-xy'+y=0?

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Sage seems currently not able to solve this ODE symbolically nor numerically:

sage: x = var('x')
sage: y = function('y', x)
sage: desolve(diff(y,x)*diff(y,x,2) + diff(y,x,2) - x*diff(y,x) + y, y)
NotImplementedError: Maxima was unable to solve this ODE.

sage: desolve_rk4(diff(y,x)*diff(y,x,2) + diff(y,x,2) - x*diff(y,x) + y, y, ics=[1,1,1])
TypeError: Error executing code in Maxima