60.8.14 problem 1850

Internal problem ID [11849]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 7, non-linear third and higher order
Problem number : 1850
Date solved : Monday, January 27, 2025 at 11:43:46 PM
CAS classification : [[_high_order, _missing_x], [_high_order, _missing_y], [_high_order, _with_linear_symmetries]]

\begin{align*} y^{\prime } y^{\prime \prime \prime \prime }-y^{\prime \prime } y^{\prime \prime \prime }+{y^{\prime }}^{3} y^{\prime \prime \prime }&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x)*diff(diff(diff(diff(y(x),x),x),x),x)-diff(diff(y(x),x),x)*diff(diff(diff(y(x),x),x),x)+diff(y(x),x)^3*diff(diff(diff(y(x),x),x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]^3*Derivative[3][y][x] - D[y[x],{x,2}]*Derivative[3][y][x] + D[y[x],x]*Derivative[4][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved