Internal problem ID [14075]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 38.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x \ln \left (x \right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)=x*ln(x),y(x), singsol=all)
\[ y \left (x \right ) = \frac {\ln \left (x \right ) x^{2}}{2}-\frac {x^{2}}{4}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 24
DSolve[y'[x]==x*Log[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\frac {x^2}{4}+\frac {1}{2} x^2 \log (x)+c_1 \]