83.1.2 problem 3

Internal problem ID [19046]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter I. Introduction and definitions. Exercise I at page 5
Problem number : 3
Date solved : Tuesday, January 28, 2025 at 12:48:00 PM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

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

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

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