75.21.5 problem 700

Internal problem ID [17174]
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 : 700
Date solved : Tuesday, January 28, 2025 at 09:56:08 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} x^{\prime \prime }-2 {x^{\prime }}^{2}+x^{\prime }-2 x&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(x(t),t$2)-2*diff(x(t),t)^2+diff(x(t),t)-2*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}]-2*D[x[t],t]^2+D[x[t],t]-2*x[t]==0,x[t],t,IncludeSingularSolutions -> True]
 

Not solved