The general form of the homogeneous equation of class D is given by the following:

homogeneousD_ode := diff(y(x),x)= y(x)/x+g(x)*f(y(x)/x);

where f(y(x)/x) and g(x) are arbitrary functions of their arguments. See Differentialgleichungen, by E. Kamke, p. 20. This type of ODE can be solved in a general manner by dsolve and the coefficients of the infinitesimal symmetry generator are also found by symgen.