73.1.8 problem 2.2 (h)

Internal problem ID [14986]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.2 (h)
Date solved : Tuesday, January 28, 2025 at 07:26:40 AM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{2} y^{\prime \prime }&=8 x^{2} \end{align*}

✗ Solution by Maple

dsolve(y(x)^2*diff(y(x),x$2)=8*x^2,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[y[x]^2*D[y[x],{x,2}]==8*x^2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved