10.3 problem 3

Internal problem ID [14476]

Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 3.
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

\[ \boxed {y^{\prime \prime }+y^{\prime }=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

dsolve(diff(y(t),t$2)+diff(y(t),t)=0,y(t), singsol=all)
 

\[ y \left (t \right ) = c_{1} +c_{2} {\mathrm e}^{-t} \]

Solution by Mathematica

Time used: 0.015 (sec). Leaf size: 17

DSolve[y''[t]+y'[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_2-c_1 e^{-t} \]