Internal problem ID [14059]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number: 22.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {x^{\prime \prime }+2 x^{\prime }-10 x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 26
dsolve(diff(x(t),t$2)+2*diff(x(t),t)-10*x(t)=0,x(t), singsol=all)
\[ x \left (t \right ) = c_{1} {\mathrm e}^{\left (-1+\sqrt {11}\right ) t}+c_{2} {\mathrm e}^{-\left (1+\sqrt {11}\right ) t} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 34
DSolve[x''[t]+2*x'[t]-10*x[t]==0,x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to e^{-\left (\left (1+\sqrt {11}\right ) t\right )} \left (c_2 e^{2 \sqrt {11} t}+c_1\right ) \]