75.14.7 problem 333

Internal problem ID [16921]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Chapter 2 (Higher order ODEs). Section 14. Differential equations admitting of depression of their order. Exercises page 107
Problem number : 333
Date solved : Tuesday, January 28, 2025 at 09:40:58 AM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.009 (sec). Leaf size: 13

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

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