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  Is Two

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

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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.

National Research University of Electronic Technology (MIET)

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