62.38.7 problem Ex 7

Internal problem ID [13018]
Book : An elementary treatise on differential equations by Abraham Cohen. DC heath publishers. 1906
Section : Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 62. Summary. Page 144
Problem number : Ex 7
Date solved : Tuesday, January 28, 2025 at 04:49:20 AM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 10

dsolve(diff(y(x),x$2)+1/x*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 13

DSolve[D[y[x],{x,2}]+1/x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \log (x)+c_2 \]