21.7 problem 702

Internal problem ID [15446]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Chapter 2 (Higher order ODE’s). Section 16. The method of isoclines for differential equations of the second order. Exercises page 158
Problem number: 702.
ODE order: 2.
ODE degree: 0.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x=0} \]

✗ Solution by Maple

dsolve(diff(x(t),t$2)+exp(-diff(x(t),t))-x(t)=0,x(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[x''[t]+Exp[-x'[t]]-x[t]==0,x[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved