20.5.1 problem Problem 1

Internal problem ID [3684]
Book : Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section : Chapter 1, First-Order Differential Equations. Section 1.9, Exact Differential Equations. page 91
Problem number : Problem 1
Date solved : Monday, January 27, 2025 at 07:55:20 AM
CAS classification : [`x=_G(y,y')`]

\begin{align*} y \,{\mathrm e}^{y x}+\left (2 y-x \,{\mathrm e}^{y x}\right ) y^{\prime }&=0 \end{align*}

✗ Solution by Maple

dsolve(y(x)*exp(x*y(x))+(2*y(x)-x*exp(x*y(x)))*diff(y(x),x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[y[x]*Exp[x*y[x]]+(2*y[x]-x*Exp[x*y[x]])*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved