35.5.8 problem 8

Internal problem ID [6142]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 5. SECOND-ORDER LINEAR EQUATIONSWITH CONSTANT COEFFICIENTS AND ZERO RIGHT-HAND SIDE. page 414
Problem number : 8
Date solved : Monday, January 27, 2025 at 01:38:18 PM
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)
 

\[ y = c_1 +c_2 \,{\mathrm e}^{-5 x} \]

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 19

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

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