64.10.24 problem 24

Internal problem ID [13430]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 4, Section 4.2. The homogeneous linear equation with constant coefficients. Exercises page 135
Problem number : 24
Date solved : Tuesday, January 28, 2025 at 05:42:17 AM
CAS classification : [[_high_order, _quadrature]]

\begin{align*} y^{\left (5\right )}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 27

dsolve(diff(y(x),x$5)=0,y(x), singsol=all)
 

\[ y = \frac {1}{24} c_{1} x^{4}+\frac {1}{6} c_{2} x^{3}+\frac {1}{2} c_{3} x^{2}+c_4 x +c_5 \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 27

DSolve[D[y[x],{x,5}]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x (x (x (c_5 x+c_4)+c_3)+c_2)+c_1 \]