82.46.3 problem Ex. 3

Internal problem ID [18974]
Book : Introductory Course On Differential Equations by Daniel A Murray. Longmans Green and Co. NY. 1924
Section : Chapter VIII. Exact differential equations, and equations of particular forms. Integration in series. problems at page 101
Problem number : Ex. 3
Date solved : Tuesday, January 28, 2025 at 12:41:13 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(y(x),x$2)+ 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: 0.010 (sec). Leaf size: 13

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

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