10.2.7 problem 7

Internal problem ID [1135]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.2. Page 48
Problem number : 7
Date solved : Monday, January 27, 2025 at 04:35:15 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\frac {-{\mathrm e}^{-x}+x}{x +{\mathrm e}^{y}} \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x) = (-exp(-x)+x)/(exp(y(x))+x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved