69.1.8 problem 8

Internal problem ID [14161]
Book : DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR PUBLISHERS, Moscow 1969.
Section : Chapter 8. Differential equations. Exercises page 595
Problem number : 8
Date solved : Tuesday, January 28, 2025 at 06:18:21 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} y^{\prime \prime }+\frac {2 y^{\prime }}{x}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 15

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

\[ y(x)\to c_2-\frac {c_1}{x} \]