Internal problem ID [14979]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 4. Equations with variables separable and equations reducible to them. Exercises
page 38
Problem number: 52.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {{\mathrm e}^{-y} y^{\prime }=1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(exp(-y(x))*diff(y(x),x)=1,y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (-\frac {1}{c_{1} +x}\right ) \]
✓ Solution by Mathematica
Time used: 0.07 (sec). Leaf size: 16
DSolve[Exp[-y[x]]*y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -\log (-x-c_1) \]