1.63 problem 63

Internal problem ID [7755]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 63
Date solved : Monday, October 21, 2024 at 04:02:48 PM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

Solve

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

1.63.1 Maple step by step solution

1.63.2 Maple trace

Methods for second order ODEs:
 

1.63.3 Maple dsolve solution

Solving time : 0.086 (sec)
Leaf size : maple_leaf_size

dsolve(y(x)*diff(diff(y(x),x),x) = x, 
       y(x),singsol=all)
 

\[ \text {No solution found} \]

1.63.4 Mathematica DSolve solution

Solving time : 0.0 (sec)
Leaf size : 0

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

Not solved