73.17.20 problem 20

Internal problem ID [15554]
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 : 20
Date solved : Tuesday, January 28, 2025 at 08:01:56 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+y^{\prime }-30 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 17

dsolve(diff(y(x),x$2)+diff(y(x),x)-30*y(x)=0,y(x), singsol=all)
 

\[ y = \left ({\mathrm e}^{11 x} c_{1} +c_{2} \right ) {\mathrm e}^{-6 x} \]

✓ Solution by Mathematica

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

DSolve[D[y[x],{x,2}]+D[y[x],x]-30*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 e^{-6 x}+c_2 e^{5 x} \]