Internal problem ID [15442]
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: 698.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {x^{\prime \prime }+2 x^{\prime }+x=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve(diff(x(t),t$2)+2*diff(x(t),t)+x(t)=0,x(t), singsol=all)
\[ x \left (t \right ) = {\mathrm e}^{-t} \left (c_{2} t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 18
DSolve[x''[t]+2*x'[t]+x[t]==0,x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to e^{-t} (c_2 t+c_1) \]