Internal problem ID [2204]
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')]
Solve \begin {gather*} \boxed {{\mathrm e}^{y x} y+\left (2 y-{\mathrm e}^{y x} x \right ) y^{\prime }=0} \end {gather*}
✗ 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