35.8.11 problem 11

Internal problem ID [6218]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 13. Miscellaneous problems. page 466
Problem number : 11
Date solved : Monday, January 27, 2025 at 01:48:19 PM
CAS classification : [_linear]

\begin{align*} y+2 x -x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 14

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

\[ y(x)\to x (2 \log (x)+c_1) \]