3.89 problem 1093

Internal problem ID [9423]

Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1093.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_y]]

\[ \boxed {y^{\prime \prime } x +y^{\prime }=0} \]

✓ Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

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

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

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 13

DSolve[y'[x] + x*y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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