75.21.7 problem 702

Internal problem ID [17176]
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 ODEs). Section 16. The method of isoclines for differential equations of the second order. Exercises page 158
Problem number : 702
Date solved : Tuesday, January 28, 2025 at 09:56:11 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x&=0 \end{align*}

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: 0.000 (sec). Leaf size: 0

DSolve[D[x[t],{t,2}]+Exp[-D[x[t],t]]-x[t]==0,x[t],t,IncludeSingularSolutions -> True]
 

Not solved