On the point transformations for the second order differential equations. I

V. V. Dmitrieva, R. A. Sharipov

Point transformations for the ordinary differential equations of the form $y^{\prime \prime }=P(x,y)+3Q(x,y)y^{\prime }+3R(x,y)(y^{\prime }{)}^2+S(x,y)(y^{\prime }{)}^3$ are considered. Some classical results are resumed.…