Internal problem ID [12375]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number: 14.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-y+x y^{\prime }=-x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve((x^2-y(x))+x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = x \left (-x +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 13
DSolve[(x^2-y[x])+x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (-x+c_1) \]