83.2.1 problem 1

Internal problem ID [19047]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Chapter II. Equations of first order and first degree. Exercise II (A) at page 8
Problem number : 1
Date solved : Tuesday, January 28, 2025 at 12:48:01 PM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 13

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

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

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 17

DSolve[(y[x]+x)+x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -\frac {x}{2}+\frac {c_1}{x} \]