74.10.13 problem 13

Internal problem ID [16218]
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 : 13
Date solved : Tuesday, January 28, 2025 at 08:57:32 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 7 y^{\prime \prime }+4 y^{\prime }-3 y&=0 \end{align*}

✓ Solution by Maple

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

dsolve(7*diff(y(t),t$2)+4*diff(y(t),t)-3*y(t)=0,y(t), singsol=all)
 

\[ y = \left (c_{1} {\mathrm e}^{\frac {10 t}{7}}+c_{2} \right ) {\mathrm e}^{-t} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 24

DSolve[7*D[y[t],{t,2}]+4*D[y[t],t]-3*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_1 e^{3 t/7}+c_2 e^{-t} \]