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Question: why is this ode Homogeneous ODE of Class C according to odeadvisor?

Question:why is this ode Homogeneous ODE of Class C according to odeadvisor?

nm 10239 Maple 2022
differential-equations odeadvisor
August 14 2022
1

I can not find my Kamke book right now. But according to Maple help, Homogeneous ODE of Class C is the following

If I understand the above, it is saying that the RHS of the ode should be ratio of two polynomials, and both should be linear in y and x. Correct?

Given the above, then why Maple says the following ode is _homogeneous, `class C` ? Since the RHS is not linear in y and not linear in x:

restart;
ode:=diff(y(x),x)=(2*y(x)-1)*(4*y(x)+6*x-3)/(y(x)+3*x-1)^2;
ode:=lhs(ode)=expand(numer(rhs(ode)))/expand(denom(rhs(ode)))


DEtools:-odeadvisor(ode)

           [[_homogeneous, `class C`], _rational]

What Am I overlooking/misunderstanding  from reading this definition? 
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