67.2.19 problem Problem 2(d)

Internal problem ID [13976]
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 2(d)
Date solved : Tuesday, January 28, 2025 at 06:10:54 AM
CAS classification : [[_high_order, _missing_x], [_high_order, _with_linear_symmetries]]

\begin{align*} \sin \left (y^{\prime \prime }\right )+y y^{\prime \prime \prime \prime }&=1 \end{align*}

✗ Solution by Maple

dsolve(sin(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[Sin[D[y[x],{x,2}]]+y[x]*D[y[x],{x,4}]==1,y[x],x,IncludeSingularSolutions -> True]
 

Not solved