On the general solutions of a nonlinear Pseudo-Oscillator equation and related quadratic Liénard systems
Proceedings of the Indian National Science Academy, Volume 86, Year 2020
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We compute explicitly the exact and general solutions of the so-called pseudo-oscillator equation xx + 1 = 0, and of its related quadratic Liénard type equations in a straightforward and direct method. This is achieved using the generalized Sundman transformation theory introduced recently in the literature by some authors of this work.