74.10.21 problem 21

Internal problem ID [16226]
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 : 21
Date solved : Tuesday, January 28, 2025 at 08:57:48 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-7 y^{\prime }+10 y&=0 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=1\\ y^{\prime }\left (0\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 8

dsolve([diff(y(t),t$2)-7*diff(y(t),t)+10*y(t)=0,y(0) = 1, D(y)(0) = 5],y(t), singsol=all)
 

\[ y = {\mathrm e}^{5 t} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 10

DSolve[{D[y[t],{t,2}]-7*D[y[t],t]+10*y[t]==0,{y[0]==1,Derivative[1][y][0] ==5}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to e^{5 t} \]