67.2.5 problem Problem 1(e)

Internal problem ID [13962]
Book : APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section : Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number : Problem 1(e)
Date solved : Tuesday, January 28, 2025 at 06:09:51 AM
CAS classification : [[_high_order, _missing_x], [_high_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }+y y^{\prime \prime \prime \prime }&=1 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+y(x)*diff(y(x),x$4)=1,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],{x,2}]+y[x]*D[y[x],{x,4}]==1,y[x],x,IncludeSingularSolutions -> True]
 

Not solved