73.17.30 problem 30

Internal problem ID [15564]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 25. Review exercises for part III. page 447
Problem number : 30
Date solved : Tuesday, January 28, 2025 at 08:02:09 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-5 y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

dsolve(diff(y(x),x$2)-5*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{5 x} c_{2} +c_{1} \]

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 19

DSolve[D[y[x],{x,2}]-5*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{5} c_1 e^{5 x}+c_2 \]