Internal problem ID [4366]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y+2 x -x y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve((y(x)+2*x)-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = \left (2 \ln \relax (x )+c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 14
DSolve[(y[x]+2*x)-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (2 \log (x)+c_1) \\ \end{align*}