The paper studies the non-continuability of solutions to the differential system: \(x'=f(t,x)\), \(f\in C(I\times {\mathbb{R}}^ n,{\mathbb{R}}^ n)\). Applications to the systems (2.1) and (2.2), i.e., respectively \[ (2,1)\quad x'=y-F(x),\quad y'=-g(x)k(y) \]
\[ (2.2)\quad x'=h(y)- F(x),\quad y'=-g(x)k(y) \] are investigated.