83.48.18 problem Ex 18 page 113

Internal problem ID [19610]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter VII. Exact differential equations.
Problem number : Ex 18 page 113
Date solved : Tuesday, January 28, 2025 at 02:04:28 PM
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)
 

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

✓ Solution by Mathematica

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

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

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