Maximum Number of Limit Cycles of the Equation (b20x2 + b11xy + b02y2 + b00) dy = (a20x2 + a11xy + a02y2 + a00) dx Is Two

Resumo

We prove that the maximum number of limit cycles of the equation

\(({b_{20}}{x^2} + {b_{11}}xy + {b_{02}}{y^2} + {b_{00}})dy = ({a_{20}}{x^2} + {a_{11}}xy + {a_{02}}{y^2} + {a_{00}})dx\)

for any parameter values is two.