15.10.5 problem 5

Internal problem ID [3092]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 18, page 82
Problem number : 5
Date solved : Monday, January 27, 2025 at 07:19:22 AM
CAS classification : [[_high_order, _quadrature]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 21

dsolve(diff(y(x),x$4)=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[D[y[x],{x,4}]==0,y[x],x,IncludeSingularSolutions -> True]
 

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