Internal problem ID [2713]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`x=_G(y,y')`]
\[ \boxed {y \,{\mathrm e}^{y x}+\left (2 y-x \,{\mathrm e}^{y x}\right ) y^{\prime }=0} \]
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y[x]*Exp[x*y[x]]+(2*y[x]-x*Exp[x*y[x]])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved