56.1.63 problem 63

Internal problem ID [8775]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 63
Date solved : Monday, January 27, 2025 at 04:50:08 PM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\begin{align*} y y^{\prime \prime }&=x \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[y[x]*D[y[x],{x,2}]==x,y[x],x,IncludeSingularSolutions -> True]
 

Not solved