74.1.15 problem 22

Internal problem ID [15795]
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
Date solved : Tuesday, January 28, 2025 at 08:07:28 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} x^{\prime \prime }+2 x^{\prime }-10 x&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (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: 0.020 (sec). Leaf size: 34

DSolve[D[x[t],{t,2}]+2*D[x[t],t]-10*x[t]==0,x[t],t,IncludeSingularSolutions -> True]
 

\[ x(t)\to e^{-\left (\left (1+\sqrt {11}\right ) t\right )} \left (c_2 e^{2 \sqrt {11} t}+c_1\right ) \]