74.10.4 problem 4

Internal problem ID [16209]
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 : 4
Date solved : Tuesday, January 28, 2025 at 08:57:14 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+3 y^{\prime }-4 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 17

dsolve(diff(y(t),t$2)+3*diff(y(t),t)-4*y(t)=0,y(t), singsol=all)
 

\[ y = \left (c_{1} +c_{2} {\mathrm e}^{5 t}\right ) {\mathrm e}^{-4 t} \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 20

DSolve[D[y[t],{t,2}]+3*D[y[t],t]-4*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_1 e^{-4 t}+c_2 e^t \]