Internal problem ID [2664]
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]
\[ \boxed {x y^{\prime }-y=\ln \left (x \right ) x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x*diff(y(x),x)-y(x)=x^2*ln(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (x \ln \left (x \right )-x +c_{1} \right ) x \]
✓ Solution by Mathematica
Time used: 0.03 (sec). Leaf size: 17
DSolve[x*y'[x]-y[x]==x^2*Log[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (-x+x \log (x)+c_1) \]