21.10 problem 705

Internal problem ID [15449]

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: 705.
ODE order: 2.
ODE degree: 1.

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

\[ \boxed {x^{\prime \prime }-x^{\prime }+x-x^{2}=0} \]

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x''[t]-x'[t]+x[t]-x[t]^2==0,x[t],t,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved