Internal problem ID [14058]
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: 21.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+9 y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 12
dsolve(diff(y(t),t$2)+9*diff(y(t),t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} +c_{2} {\mathrm e}^{-9 t} \]
✓ Solution by Mathematica
Time used: 0.015 (sec). Leaf size: 19
DSolve[y''[t]+9*y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_2-\frac {1}{9} c_1 e^{-9 t} \]