Finding explicit expressions of four real functions for an implicitly defined plane curve (Trifolium curve) whose equation is biquadratic in the variable y
x⁴ + 2x² y² + a y⁴ - x³ + 3x y² = 0
Biquadratic equation, the solution y=y(x) of which is found by the formulas EqWorld.
The vertical asymptotes are found using the implicit function theorem and the calculations are done in CAS.
