Internal problem ID [4874]
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]
\[ \boxed {-y^{\prime } x +y=-2 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve((y(x)+2*x)-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \left (2 \ln \left (x \right )+c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.024 (sec). Leaf size: 14
DSolve[(y[x]+2*x)-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (2 \log (x)+c_1) \]