Internal problem ID [14931]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 6. Systems of Differential Equations. Exercises 6.1, page 282
Problem number: 14.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {x^{\prime \prime }+6 x^{\prime }+9 x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(diff(x(t),t$2)+6*diff(x(t),t)+9*x(t)=0,x(t), singsol=all)
\[ x \left (t \right ) = {\mathrm e}^{-3 t} \left (t c_{2} +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 18
DSolve[x''[t]+6*x'[t]+9*x[t]==0,x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to e^{-3 t} (c_2 t+c_1) \]