ABSTRACT
Existence of solutions to the initial value problem x y ′ = f 1 ( x , y ) f 2 ( x , y ) , x ( 0 ) y ( 0 ) = x 0 y 0 $$ \left( {\begin{array}{*{20}c} x \\ y \\ \end{array} } \right)^{\prime } = \left( {\begin{array}{*{20}c} {f_{1} (x,y)} \\ {f_{2} (x,y)} \\ \end{array} } \right),~\left( {\begin{array}{*{20}c} {x(0)} \\ {y(0)} \\ \end{array} } \right) = \left( {\begin{array}{*{20}c} {x_{0} } \\ {y_{0} } \\ \end{array} } \right) $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315183138/c768726a-487f-48b7-9265-5d998f5a19e7/content/math12_1.tif"/>
