69.1.5 problem 5

Internal problem ID [14158]
Book : DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR PUBLISHERS, Moscow 1969.
Section : Chapter 8. Differential equations. Exercises page 595
Problem number : 5
Date solved : Tuesday, January 28, 2025 at 06:18:17 AM
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)
 

\[ y = c_{1} +\frac {c_{2}}{x}+c_{3} x \]

✓ 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]
 

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