Internal problem ID [485]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.2. Page 48
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-\frac {-{\mathrm e}^{-x}+x}{{\mathrm e}^{y}+x}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[x] == (-Exp[-x]+x)/(Exp[y[x]]+x),y[x],x,IncludeSingularSolutions -> True]
Not solved