7.8.18 problem 18

Internal problem ID [232]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 2. Linear Equations of Higher Order. Section 2.1 (Introduction. Second order linear equations). Problems at page 111
Problem number : 18
Date solved : Monday, January 27, 2025 at 02:42:48 AM
CAS classification : [[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]]

\begin{align*} y y^{\prime \prime }&=6 x^{4} \end{align*}

Solution by Maple

dsolve(y(x)*diff(y(x),x$2)=6*x^4,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}]== 6*x^4,y[x],x,IncludeSingularSolutions -> True]
 

Not solved