Internal problem ID [12226]
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).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x], [_high_order, _with_linear_symmetries]]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y''[x]+y[x]*y''''[x]==1,y[x],x,IncludeSingularSolutions -> True]
Not solved