60.5.1 problem 1534

Internal problem ID [11535]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 4, linear fourth order
Problem number : 1534
Date solved : Monday, January 27, 2025 at 11:23:16 PM
CAS classification : [[_high_order, _quadrature]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 21

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)=0,y(x), singsol=all)
 

\[ y = \frac {1}{6} c_{1} x^{3}+\frac {1}{2} c_{2} x^{2}+x c_3 +c_4 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 22

DSolve[Derivative[4][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x (x (c_4 x+c_3)+c_2)+c_1 \]