Exactly solvable quadratic differential equation systems through generalized inversion

Ádám Bácsi, Albert Tihamér Kocsis

We study the autonomous systems of quadratic differential equations of the form ${\dot{x}}_i(t)=\mathbf{x}(t{)}^T{\mathbf{A}}_i\mathbf{x}(t)+{\mathbf{v}}_i^T\mathbf{x}(t)$ with $\math…