ode internal name "first_order_ode_chini"
This ode is normally generated when we get an Abel ode of first kind
Now we check if the Chini invariant is also constant or not. The Chini invariant is given by
And if this comes out to be constant (i.e. do not depend on
Otherwise there is no general method to solve it. This below is my translation of Kamke 1.55, page 303 on Chini ode. He says, given ode
A solution of the linear equation
you get the solutions of the original ode
Is determined. For