74.10.17 problem 17

Internal problem ID [16222]
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 : 17
Date solved : Tuesday, January 28, 2025 at 08:57:39 AM
CAS classification : [[_2nd_order, _missing_x]]

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

With initial conditions

\begin{align*} y \left (0\right )&=0\\ y^{\prime }\left (0\right )&=7 \end{align*}

✓ Solution by Maple

Time used: 0.013 (sec). Leaf size: 12

dsolve([3*diff(y(t),t$2)-diff(y(t),t)=0,y(0) = 0, D(y)(0) = 7],y(t), singsol=all)
 

\[ y = -21+21 \,{\mathrm e}^{\frac {t}{3}} \]

✓ Solution by Mathematica

Time used: 0.016 (sec). Leaf size: 16

DSolve[{3*D[y[t],{t,2}]-D[y[t],t]==0,{y[0]==0,Derivative[1][y][0] ==7}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 21 \left (e^{t/3}-1\right ) \]