Internal problem ID [6461]
Book: Own collection of miscellaneous problems
Section: section 3.0
Problem number: 24.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [NONE]
Solve \begin {gather*} \boxed {\left (x^{2}+1\right ) y^{\prime \prime }+y \left (y^{\prime }\right )^{2}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(1+x^2)*y''[x]+y[x]*(y'[x])^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved