Internal problem ID [9128]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 4, linear fourth order
Problem number: 1549.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_y]]
Solve \begin {gather*} \boxed {x y^{\prime \prime \prime \prime }+5 y^{\prime \prime \prime }-24=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(x*diff(diff(diff(diff(y(x),x),x),x),x)+5*diff(diff(diff(y(x),x),x),x)-24=0,y(x), singsol=all)
\[ y \relax (x ) = \frac {c_{2} x^{2}}{2}+\frac {4 x^{3}}{5}-\frac {c_{1}}{24 x^{2}}+c_{3} x +c_{4} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 34
DSolve[-24 + 5*Derivative[3][y][x] + x*Derivative[4][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {4 x^3}{5}+c_4 x^2-\frac {c_1}{24 x^2}+c_3 x+c_2 \\ \end{align*}