4.21 problem 86

Internal problem ID [14993]

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: 86.
ODE order: 1.
ODE degree: 0.

CAS Maple gives this as type [_quadrature]

\[ \boxed {{\mathrm e}^{y^{\prime }}=1} \]

Solution by Maple

Time used: 0.016 (sec). Leaf size: 5

dsolve(exp(diff(y(x),x))=1,y(x), singsol=all)
 

\[ y \left (x \right ) = c_{1} \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 7

DSolve[Exp[y'[x]]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \]