56.3.24 problem 24

Internal problem ID [8882]
Book : Own collection of miscellaneous problems
Section : section 3.0
Problem number : 24
Date solved : Monday, January 27, 2025 at 05:18:26 PM
CAS classification : [NONE]

\begin{align*} \left (x^{2}+1\right ) y^{\prime \prime }+y {y^{\prime }}^{2}&=0 \end{align*}

✗ Solution by Maple

dsolve((1+x^2)*diff(y(x),x$2)+y(x)*diff(y(x),x)^2=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(1+x^2)*D[y[x],{x,2}]+y[x]*(D[y[x],x])^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved