73.17.5 problem 5

Internal problem ID [15539]
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 : 5
Date solved : Tuesday, January 28, 2025 at 08:01:34 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }-9 y^{\prime }+14 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 17

dsolve(diff(y(x),x$2)-9*diff(y(x),x)+14*y(x)=0,y(x), singsol=all)
 

\[ y = {\mathrm e}^{7 x} c_{1} +{\mathrm e}^{2 x} c_{2} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 22

DSolve[D[y[x],{x,2}]-9*D[y[x],x]+14*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to e^{2 x} \left (c_2 e^{5 x}+c_1\right ) \]