60.3.89 problem 1093

Internal problem ID [11099]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1093
Date solved : Monday, January 27, 2025 at 10:45:43 PM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

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

✓ Solution by Mathematica

Time used: 0.017 (sec). Leaf size: 13

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

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