Internal problem ID [10324]
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.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }+\frac {y^{\prime }}{x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x$2)+1/x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{2} \ln \left (x \right )+c_{1} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 13
DSolve[y''[x]+1/x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \log (x)+c_2 \\ \end{align*}