1.8 problem 2.2 (h)

Internal problem ID [13250]

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).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\[ \boxed {y^{2} y^{\prime \prime }=8 x^{2}} \]

✗ 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: 0.0 (sec). Leaf size: 0

DSolve[y[x]^2*y''[x]==8*x^2,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved