Internal problem ID [12930]
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