2.1.3 Problem 3

Data Base ID : [4078]
Book : Differential equations, Shepley L. Ross, 1964
Book section : 2.4, page 55
Book problem number : 3
The problem :

\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} y^{2} \left (x^{2}+1\right )+y+\left (1+2 y x \right ) y^{\prime }&=0 \end {array} \]

Date solved : Monday, June 15, 2026 at 03:02:29 PM
CAS classification : [_rational, [_Abel, `2nd type`, `class B`]]
Output folder : 4079_Sunday_March_30_2025_02_16_32_AM_3788059

\[\begin {gathered}\begin {aligned} y^{2} \left (x^{2}+1\right )+y+\left (2 y x +1\right ) y^{\prime }&=0\\ \end {aligned} \end {gathered}\]

Unknown ode type.