81.1.10 problem 9

Internal problem ID [18605]
Book : A short course on differential equations. By Donald Francis Campbell. Maxmillan company. London. 1907
Section : Chapter I. Introduction. Exercises at page 13
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 12:03:56 PM
CAS classification : [[_3rd_order, _missing_y]]

\begin{align*} y^{\prime \prime \prime }+\frac {3 y^{\prime \prime }}{x}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 14

dsolve(diff(y(x),x$3)+3/x*diff(y(x),x$2)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} +\frac {c_{2}}{x}+c_3 x \]

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 21

DSolve[D[y[x],{x,3}]+3/x*D[y[x],{x,2}]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {c_1}{2 x}+c_3 x+c_2 \]