Internal problem ID [2155]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential
Equations. page 59
Problem number: Problem 33.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
Solve \begin {gather*} \boxed {y^{\prime } x -y-\ln \relax (x ) x^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)-y(x)=x^2*ln(x),y(x), singsol=all)
\[ y \relax (x ) = \left (x \ln \relax (x )-x +c_{1}\right ) x \]
✓ Solution by Mathematica
Time used: 0.031 (sec). Leaf size: 17
DSolve[x*y'[x]-y[x]==x^2*Log[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x (-x+x \log (x)+c_1) \\ \end{align*}