78.9.2 problem 2

Internal problem ID [18250]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 3. Second order linear equations. Section 14. Introduction. Problems at page 112
Problem number : 2
Date solved : Tuesday, January 28, 2025 at 11:44:17 AM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 10

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

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

✓ 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]
 

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