Internal problem ID [6354]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 63.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y y^{\prime \prime }-x=0} \end {gather*}
✗ Solution by Maple
dsolve(y(x)*diff(y(x),x$2)=x,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]*y''[x]==x,y[x],x,IncludeSingularSolutions -> True]
Not solved