  We solve the analytic integrability problem for diferential systems in the
plane whose origin is an isolated singularity and the first homogeneous
component is a quadratic Lotka-Volterra type. As an application, we give the
analytically integrable systems of a class of systems $\dot{x}= x(P1+P2)$;
$\dot{y}= y(Q1+Q2)$; being Pi,Qi homogeneous polynomials of degree i.
