5.1 problem 1534

Internal problem ID [9113]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 4, linear fourth order
Problem number: 1534.
ODE order: 4.
ODE degree: 1.

CAS Maple gives this as type [[_high_order, _quadrature]]

Solve \begin {gather*} \boxed {y^{\prime \prime \prime \prime }=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 21

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

\[ y \relax (x ) = \frac {1}{6} c_{1} x^{3}+\frac {1}{2} c_{2} x^{2}+c_{3} x +c_{4} \]

Solution by Mathematica

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

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

\begin{align*} y(x)\to x (x (c_4 x+c_3)+c_2)+c_1 \\ \end{align*}