Invariant algebraic curves linear in one variable for planar real quadratic systems
In this paper we study algebraic solutions of the form h(x,y)=p"1(x)y+p"2(x), where p"1(x) and p"2(x) are real coprime polynomials and p"1(x) 0, for a planar real algebraic quadratic system. We analyze the existence of this kind of solutions depending on the coefficients of the system.